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Finding the Fourth Proportional to 71,905, 99,229.54 and 42,097.64

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Solution

The fourth proportional to 71,905, 99,229.54 and 42,097.64 is: 58,095.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,905 : 99,229.54 = 42,097.64 : x
  2. Step 2: Convert to fraction form
    71,905/99,229.54 = 42,097.64/x
  3. Step 3: Cross multiply
    71,905x = 99,229.54 × 42,097.64
  4. Step 4: Simplify right side
    71,905x = 4,177,329,452.29
  5. Step 5: Solve for x
    x = 4,177,329,452.29/71,905
  6. Step 6: Final answer
    x = 58,095.12

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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.