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Finding the Fourth Proportional to 32,064.97, 48,097.45 and 8,691.40

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Solution

The fourth proportional to 32,064.97, 48,097.45 and 8,691.40 is: 13,037.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,064.97 : 48,097.45 = 8,691.40 : x
  2. Step 2: Convert to fraction form
    32,064.97/48,097.45 = 8,691.40/x
  3. Step 3: Cross multiply
    32,064.97x = 48,097.45 × 8,691.40
  4. Step 4: Simplify right side
    32,064.97x = 418,034,295.74
  5. Step 5: Solve for x
    x = 418,034,295.74/32,064.97
  6. Step 6: Final answer
    x = 13,037.10

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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.