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Finding the Fourth Proportional to 32,128.80, 44,306.64 and 25,052.64

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Solution

The fourth proportional to 32,128.80, 44,306.64 and 25,052.64 is: 34,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,128.80 : 44,306.64 = 25,052.64 : x
  2. Step 2: Convert to fraction form
    32,128.80/44,306.64 = 25,052.64/x
  3. Step 3: Cross multiply
    32,128.80x = 44,306.64 × 25,052.64
  4. Step 4: Simplify right side
    32,128.80x = 1,109,998,301.53
  5. Step 5: Solve for x
    x = 1,109,998,301.53/32,128.80
  6. Step 6: Final answer
    x = 34,548.39

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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.