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Finding the Fourth Proportional to 71,341.10, 98,442.77 and 39,502.02

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Solution

The fourth proportional to 71,341.10, 98,442.77 and 39,502.02 is: 54,508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,341.10 : 98,442.77 = 39,502.02 : x
  2. Step 2: Convert to fraction form
    71,341.10/98,442.77 = 39,502.02/x
  3. Step 3: Cross multiply
    71,341.10x = 98,442.77 × 39,502.02
  4. Step 4: Simplify right side
    71,341.10x = 3,888,688,071.89
  5. Step 5: Solve for x
    x = 3,888,688,071.89/71,341.10
  6. Step 6: Final answer
    x = 54,508.39

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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.