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Finding the Fourth Proportional to 54,866,492.40, 82,299,738.60 and 27,656,713.20

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Solution

The fourth proportional to 54,866,492.40, 82,299,738.60 and 27,656,713.20 is: 41,485,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,866,492.40 : 82,299,738.60 = 27,656,713.20 : x
  2. Step 2: Convert to fraction form
    54,866,492.40/82,299,738.60 = 27,656,713.20/x
  3. Step 3: Cross multiply
    54,866,492.40x = 82,299,738.60 × 27,656,713.20
  4. Step 4: Simplify right side
    54,866,492.40x = 2,276,140,266,895,169.50
  5. Step 5: Solve for x
    x = 2,276,140,266,895,169.50/54,866,492.40
  6. Step 6: Final answer
    x = 41,485,069.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.