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Finding the Fourth Proportional to 31,614.72, 43,502.40 and 30,652.80

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Solution

The fourth proportional to 31,614.72, 43,502.40 and 30,652.80 is: 42,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,614.72 : 43,502.40 = 30,652.80 : x
  2. Step 2: Convert to fraction form
    31,614.72/43,502.40 = 30,652.80/x
  3. Step 3: Cross multiply
    31,614.72x = 43,502.40 × 30,652.80
  4. Step 4: Simplify right side
    31,614.72x = 1,333,470,366.72
  5. Step 5: Solve for x
    x = 1,333,470,366.72/31,614.72
  6. Step 6: Final answer
    x = 42,178.78

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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.