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Finding the Fourth Proportional to 31,665.57, 47,500.83 and 10,605.69

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Solution

The fourth proportional to 31,665.57, 47,500.83 and 10,605.69 is: 15,909.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,665.57 : 47,500.83 = 10,605.69 : x
  2. Step 2: Convert to fraction form
    31,665.57/47,500.83 = 10,605.69/x
  3. Step 3: Cross multiply
    31,665.57x = 47,500.83 × 10,605.69
  4. Step 4: Simplify right side
    31,665.57x = 503,779,077.72
  5. Step 5: Solve for x
    x = 503,779,077.72/31,665.57
  6. Step 6: Final answer
    x = 15,909.36

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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.