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Finding the Fourth Proportional to 38,561.92, 53,223.36 and 22,654.72

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Solution

The fourth proportional to 38,561.92, 53,223.36 and 22,654.72 is: 31,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,561.92 : 53,223.36 = 22,654.72 : x
  2. Step 2: Convert to fraction form
    38,561.92/53,223.36 = 22,654.72/x
  3. Step 3: Cross multiply
    38,561.92x = 53,223.36 × 22,654.72
  4. Step 4: Simplify right side
    38,561.92x = 1,205,760,318.26
  5. Step 5: Solve for x
    x = 1,205,760,318.26/38,561.92
  6. Step 6: Final answer
    x = 31,268.16

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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.