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Finding the Fourth Proportional to 96,232.61, 144,339.63 and 29,654.86

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Solution

The fourth proportional to 96,232.61, 144,339.63 and 29,654.86 is: 44,479.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,232.61 : 144,339.63 = 29,654.86 : x
  2. Step 2: Convert to fraction form
    96,232.61/144,339.63 = 29,654.86/x
  3. Step 3: Cross multiply
    96,232.61x = 144,339.63 × 29,654.86
  4. Step 4: Simplify right side
    96,232.61x = 4,280,371,520.10
  5. Step 5: Solve for x
    x = 4,280,371,520.10/96,232.61
  6. Step 6: Final answer
    x = 44,479.43

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1.5x scale

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.