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Finding the Fourth Proportional to 64,159.85, 96,239.82 and 34,591.61

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Solution

The fourth proportional to 64,159.85, 96,239.82 and 34,591.61 is: 51,887.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,159.85 : 96,239.82 = 34,591.61 : x
  2. Step 2: Convert to fraction form
    64,159.85/96,239.82 = 34,591.61/x
  3. Step 3: Cross multiply
    64,159.85x = 96,239.82 × 34,591.61
  4. Step 4: Simplify right side
    64,159.85x = 3,329,090,319.91
  5. Step 5: Solve for x
    x = 3,329,090,319.91/64,159.85
  6. Step 6: Final answer
    x = 51,887.44

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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.