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Finding the Fourth Proportional to 71,413, 98,414.04 and 52,298.62

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Solution

The fourth proportional to 71,413, 98,414.04 and 52,298.62 is: 72,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,413 : 98,414.04 = 52,298.62 : x
  2. Step 2: Convert to fraction form
    71,413/98,414.04 = 52,298.62/x
  3. Step 3: Cross multiply
    71,413x = 98,414.04 × 52,298.62
  4. Step 4: Simplify right side
    71,413x = 5,146,918,480.62
  5. Step 5: Solve for x
    x = 5,146,918,480.62/71,413
  6. Step 6: Final answer
    x = 72,072.57

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