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Finding the Fourth Proportional to 32,065.62, 48,098.42 and 8,691.45

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Solution

The fourth proportional to 32,065.62, 48,098.42 and 8,691.45 is: 13,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,065.62 : 48,098.42 = 8,691.45 : x
  2. Step 2: Convert to fraction form
    32,065.62/48,098.42 = 8,691.45/x
  3. Step 3: Cross multiply
    32,065.62x = 48,098.42 × 8,691.45
  4. Step 4: Simplify right side
    32,065.62x = 418,045,012.51
  5. Step 5: Solve for x
    x = 418,045,012.51/32,065.62
  6. Step 6: Final answer
    x = 13,037.17

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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.