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Finding the Fourth Proportional to 54,001.12, 81,013.52 and 16,564

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Solution

The fourth proportional to 54,001.12, 81,013.52 and 16,564 is: 24,849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,001.12 : 81,013.52 = 16,564 : x
  2. Step 2: Convert to fraction form
    54,001.12/81,013.52 = 16,564/x
  3. Step 3: Cross multiply
    54,001.12x = 81,013.52 × 16,564
  4. Step 4: Simplify right side
    54,001.12x = 1,341,907,945.28
  5. Step 5: Solve for x
    x = 1,341,907,945.28/54,001.12
  6. Step 6: Final answer
    x = 24,849.63

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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.