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Finding the Fourth Proportional to 42,861, 64,292.31 and 11,697.06

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Solution

The fourth proportional to 42,861, 64,292.31 and 11,697.06 is: 17,545.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,861 : 64,292.31 = 11,697.06 : x
  2. Step 2: Convert to fraction form
    42,861/64,292.31 = 11,697.06/x
  3. Step 3: Cross multiply
    42,861x = 64,292.31 × 11,697.06
  4. Step 4: Simplify right side
    42,861x = 752,031,007.61
  5. Step 5: Solve for x
    x = 752,031,007.61/42,861
  6. Step 6: Final answer
    x = 17,545.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.