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Finding the Fourth Proportional to 31,903.02, 47,854.17 and 14,360.40

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Solution

The fourth proportional to 31,903.02, 47,854.17 and 14,360.40 is: 21,540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.02 : 47,854.17 = 14,360.40 : x
  2. Step 2: Convert to fraction form
    31,903.02/47,854.17 = 14,360.40/x
  3. Step 3: Cross multiply
    31,903.02x = 47,854.17 × 14,360.40
  4. Step 4: Simplify right side
    31,903.02x = 687,205,022.87
  5. Step 5: Solve for x
    x = 687,205,022.87/31,903.02
  6. Step 6: Final answer
    x = 21,540.44

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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.