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Finding the Fourth Proportional to 31,565.80, 47,348.70 and 18,411.40

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Solution

The fourth proportional to 31,565.80, 47,348.70 and 18,411.40 is: 27,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,565.80 : 47,348.70 = 18,411.40 : x
  2. Step 2: Convert to fraction form
    31,565.80/47,348.70 = 18,411.40/x
  3. Step 3: Cross multiply
    31,565.80x = 47,348.70 × 18,411.40
  4. Step 4: Simplify right side
    31,565.80x = 871,755,855.18
  5. Step 5: Solve for x
    x = 871,755,855.18/31,565.80
  6. Step 6: Final answer
    x = 27,617.10

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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.