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Finding the Fourth Proportional to 31,149.72, 46,732.02 and 10,089.78

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Solution

The fourth proportional to 31,149.72, 46,732.02 and 10,089.78 is: 15,137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,149.72 : 46,732.02 = 10,089.78 : x
  2. Step 2: Convert to fraction form
    31,149.72/46,732.02 = 10,089.78/x
  3. Step 3: Cross multiply
    31,149.72x = 46,732.02 × 10,089.78
  4. Step 4: Simplify right side
    31,149.72x = 471,515,800.76
  5. Step 5: Solve for x
    x = 471,515,800.76/31,149.72
  6. Step 6: Final answer
    x = 15,137.08

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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.