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Finding the Fourth Proportional to 64,101.38, 96,149.28 and 19,732.64

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Solution

The fourth proportional to 64,101.38, 96,149.28 and 19,732.64 is: 29,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,101.38 : 96,149.28 = 19,732.64 : x
  2. Step 2: Convert to fraction form
    64,101.38/96,149.28 = 19,732.64/x
  3. Step 3: Cross multiply
    64,101.38x = 96,149.28 × 19,732.64
  4. Step 4: Simplify right side
    64,101.38x = 1,897,279,128.50
  5. Step 5: Solve for x
    x = 1,897,279,128.50/64,101.38
  6. Step 6: Final answer
    x = 29,598.10

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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.