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Finding the Fourth Proportional to 31,902.86, 44,026.13 and 17,564.14

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Solution

The fourth proportional to 31,902.86, 44,026.13 and 17,564.14 is: 24,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,902.86 : 44,026.13 = 17,564.14 : x
  2. Step 2: Convert to fraction form
    31,902.86/44,026.13 = 17,564.14/x
  3. Step 3: Cross multiply
    31,902.86x = 44,026.13 × 17,564.14
  4. Step 4: Simplify right side
    31,902.86x = 773,281,209.92
  5. Step 5: Solve for x
    x = 773,281,209.92/31,902.86
  6. Step 6: Final answer
    x = 24,238.62

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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.