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Finding the Fourth Proportional to 54,221.52, 81,323.05 and 14,769.40

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Solution

The fourth proportional to 54,221.52, 81,323.05 and 14,769.40 is: 22,151.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,221.52 : 81,323.05 = 14,769.40 : x
  2. Step 2: Convert to fraction form
    54,221.52/81,323.05 = 14,769.40/x
  3. Step 3: Cross multiply
    54,221.52x = 81,323.05 × 14,769.40
  4. Step 4: Simplify right side
    54,221.52x = 1,201,092,580.82
  5. Step 5: Solve for x
    x = 1,201,092,580.82/54,221.52
  6. Step 6: Final answer
    x = 22,151.59

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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.