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Finding the Fourth Proportional to 64,468.30, 96,731.49 and 34,851.46

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Solution

The fourth proportional to 64,468.30, 96,731.49 and 34,851.46 is: 52,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,468.30 : 96,731.49 = 34,851.46 : x
  2. Step 2: Convert to fraction form
    64,468.30/96,731.49 = 34,851.46/x
  3. Step 3: Cross multiply
    64,468.30x = 96,731.49 × 34,851.46
  4. Step 4: Simplify right side
    64,468.30x = 3,371,233,654.48
  5. Step 5: Solve for x
    x = 3,371,233,654.48/64,468.30
  6. Step 6: Final answer
    x = 52,292.89

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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.