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Finding the Fourth Proportional to 31,612.01, 47,424.15 and 9,424.89

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Solution

The fourth proportional to 31,612.01, 47,424.15 and 9,424.89 is: 14,139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,612.01 : 47,424.15 = 9,424.89 : x
  2. Step 2: Convert to fraction form
    31,612.01/47,424.15 = 9,424.89/x
  3. Step 3: Cross multiply
    31,612.01x = 47,424.15 × 9,424.89
  4. Step 4: Simplify right side
    31,612.01x = 446,967,397.09
  5. Step 5: Solve for x
    x = 446,967,397.09/31,612.01
  6. Step 6: Final answer
    x = 14,139.17

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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.