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Finding the Fourth Proportional to 54,006, 81,001.48 and 14,565.48

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Solution

The fourth proportional to 54,006, 81,001.48 and 14,565.48 is: 21,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,006 : 81,001.48 = 14,565.48 : x
  2. Step 2: Convert to fraction form
    54,006/81,001.48 = 14,565.48/x
  3. Step 3: Cross multiply
    54,006x = 81,001.48 × 14,565.48
  4. Step 4: Simplify right side
    54,006x = 1,179,825,436.91
  5. Step 5: Solve for x
    x = 1,179,825,436.91/54,006
  6. Step 6: Final answer
    x = 21,846.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.