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Finding the Fourth Proportional to 32,640.38, 45,032.84 and 22,565.18

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Solution

The fourth proportional to 32,640.38, 45,032.84 and 22,565.18 is: 31,132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,640.38 : 45,032.84 = 22,565.18 : x
  2. Step 2: Convert to fraction form
    32,640.38/45,032.84 = 22,565.18/x
  3. Step 3: Cross multiply
    32,640.38x = 45,032.84 × 22,565.18
  4. Step 4: Simplify right side
    32,640.38x = 1,016,174,140.51
  5. Step 5: Solve for x
    x = 1,016,174,140.51/32,640.38
  6. Step 6: Final answer
    x = 31,132.42

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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.