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Finding the Fourth Proportional to 64,147.54, 96,155.70 and 32,498.95

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Solution

The fourth proportional to 64,147.54, 96,155.70 and 32,498.95 is: 48,715.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,147.54 : 96,155.70 = 32,498.95 : x
  2. Step 2: Convert to fraction form
    64,147.54/96,155.70 = 32,498.95/x
  3. Step 3: Cross multiply
    64,147.54x = 96,155.70 × 32,498.95
  4. Step 4: Simplify right side
    64,147.54x = 3,124,959,286.52
  5. Step 5: Solve for x
    x = 3,124,959,286.52/64,147.54
  6. Step 6: Final answer
    x = 48,715.19

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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.