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Finding the Fourth Proportional to 31,562.29, 43,553.98 and 17,415.23

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Solution

The fourth proportional to 31,562.29, 43,553.98 and 17,415.23 is: 24,031.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,562.29 : 43,553.98 = 17,415.23 : x
  2. Step 2: Convert to fraction form
    31,562.29/43,553.98 = 17,415.23/x
  3. Step 3: Cross multiply
    31,562.29x = 43,553.98 × 17,415.23
  4. Step 4: Simplify right side
    31,562.29x = 758,502,579.12
  5. Step 5: Solve for x
    x = 758,502,579.12/31,562.29
  6. Step 6: Final answer
    x = 24,031.92

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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.