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Finding the Fourth Proportional to 66,736.68, 92,117.12 and 38,461.20

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Solution

The fourth proportional to 66,736.68, 92,117.12 and 38,461.20 is: 53,088.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,736.68 : 92,117.12 = 38,461.20 : x
  2. Step 2: Convert to fraction form
    66,736.68/92,117.12 = 38,461.20/x
  3. Step 3: Cross multiply
    66,736.68x = 92,117.12 × 38,461.20
  4. Step 4: Simplify right side
    66,736.68x = 3,542,934,975.74
  5. Step 5: Solve for x
    x = 3,542,934,975.74/66,736.68
  6. Step 6: Final answer
    x = 53,088.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.