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Finding the Fourth Proportional to 54,722.52, 75,516.96 and 29,572

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Solution

The fourth proportional to 54,722.52, 75,516.96 and 29,572 is: 40,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,722.52 : 75,516.96 = 29,572 : x
  2. Step 2: Convert to fraction form
    54,722.52/75,516.96 = 29,572/x
  3. Step 3: Cross multiply
    54,722.52x = 75,516.96 × 29,572
  4. Step 4: Simplify right side
    54,722.52x = 2,233,187,541.12
  5. Step 5: Solve for x
    x = 2,233,187,541.12/54,722.52
  6. Step 6: Final answer
    x = 40,809.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.