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Finding the Fourth Proportional to 31,502.02, 47,274.90 and 18,380.02

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Solution

The fourth proportional to 31,502.02, 47,274.90 and 18,380.02 is: 27,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502.02 : 47,274.90 = 18,380.02 : x
  2. Step 2: Convert to fraction form
    31,502.02/47,274.90 = 18,380.02/x
  3. Step 3: Cross multiply
    31,502.02x = 47,274.90 × 18,380.02
  4. Step 4: Simplify right side
    31,502.02x = 868,913,607.50
  5. Step 5: Solve for x
    x = 868,913,607.50/31,502.02
  6. Step 6: Final answer
    x = 27,582.79

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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.