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Finding the Fourth Proportional to 31,524.61, 43,507.03 and 23,553

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Solution

The fourth proportional to 31,524.61, 43,507.03 and 23,553 is: 32,505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.61 : 43,507.03 = 23,553 : x
  2. Step 2: Convert to fraction form
    31,524.61/43,507.03 = 23,553/x
  3. Step 3: Cross multiply
    31,524.61x = 43,507.03 × 23,553
  4. Step 4: Simplify right side
    31,524.61x = 1,024,721,077.59
  5. Step 5: Solve for x
    x = 1,024,721,077.59/31,524.61
  6. Step 6: Final answer
    x = 32,505.43

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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.