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Finding the Fourth Proportional to 48,656.40, 72,984.60 and 27,862.80

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Solution

The fourth proportional to 48,656.40, 72,984.60 and 27,862.80 is: 41,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,656.40 : 72,984.60 = 27,862.80 : x
  2. Step 2: Convert to fraction form
    48,656.40/72,984.60 = 27,862.80/x
  3. Step 3: Cross multiply
    48,656.40x = 72,984.60 × 27,862.80
  4. Step 4: Simplify right side
    48,656.40x = 2,033,555,312.88
  5. Step 5: Solve for x
    x = 2,033,555,312.88/48,656.40
  6. Step 6: Final answer
    x = 41,794.20

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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.