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Finding the Fourth Proportional to 64,265, 96,391.02 and 29,195.24

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Solution

The fourth proportional to 64,265, 96,391.02 and 29,195.24 is: 43,789.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,265 : 96,391.02 = 29,195.24 : x
  2. Step 2: Convert to fraction form
    64,265/96,391.02 = 29,195.24/x
  3. Step 3: Cross multiply
    64,265x = 96,391.02 × 29,195.24
  4. Step 4: Simplify right side
    64,265x = 2,814,158,962.74
  5. Step 5: Solve for x
    x = 2,814,158,962.74/64,265
  6. Step 6: Final answer
    x = 43,789.92

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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.