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Finding the Fourth Proportional to 31,884.96, 44,002.07 and 17,545.16

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Solution

The fourth proportional to 31,884.96, 44,002.07 and 17,545.16 is: 24,212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,884.96 : 44,002.07 = 17,545.16 : x
  2. Step 2: Convert to fraction form
    31,884.96/44,002.07 = 17,545.16/x
  3. Step 3: Cross multiply
    31,884.96x = 44,002.07 × 17,545.16
  4. Step 4: Simplify right side
    31,884.96x = 772,023,199.04
  5. Step 5: Solve for x
    x = 772,023,199.04/31,884.96
  6. Step 6: Final answer
    x = 24,212.77

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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.