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Finding the Fourth Proportional to 96,046.58, 132,385.65 and 64,203.86

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Solution

The fourth proportional to 96,046.58, 132,385.65 and 64,203.86 is: 88,495.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,046.58 : 132,385.65 = 64,203.86 : x
  2. Step 2: Convert to fraction form
    96,046.58/132,385.65 = 64,203.86/x
  3. Step 3: Cross multiply
    96,046.58x = 132,385.65 × 64,203.86
  4. Step 4: Simplify right side
    96,046.58x = 8,499,669,738.61
  5. Step 5: Solve for x
    x = 8,499,669,738.61/96,046.58
  6. Step 6: Final answer
    x = 88,495.29

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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.