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Finding the Fourth Proportional to 31,565.60, 47,348.40 and 17,712.80

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Solution

The fourth proportional to 31,565.60, 47,348.40 and 17,712.80 is: 26,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,565.60 : 47,348.40 = 17,712.80 : x
  2. Step 2: Convert to fraction form
    31,565.60/47,348.40 = 17,712.80/x
  3. Step 3: Cross multiply
    31,565.60x = 47,348.40 × 17,712.80
  4. Step 4: Simplify right side
    31,565.60x = 838,672,739.52
  5. Step 5: Solve for x
    x = 838,672,739.52/31,565.60
  6. Step 6: Final answer
    x = 26,569.20

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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.