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Finding the Fourth Proportional to 71,077.71, 98,051.85 and 42,377.17

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Solution

The fourth proportional to 71,077.71, 98,051.85 and 42,377.17 is: 58,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,077.71 : 98,051.85 = 42,377.17 : x
  2. Step 2: Convert to fraction form
    71,077.71/98,051.85 = 42,377.17/x
  3. Step 3: Cross multiply
    71,077.71x = 98,051.85 × 42,377.17
  4. Step 4: Simplify right side
    71,077.71x = 4,155,159,854.98
  5. Step 5: Solve for x
    x = 4,155,159,854.98/71,077.71
  6. Step 6: Final answer
    x = 58,459.39

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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.