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Finding the Fourth Proportional to 82,046.70, 123,063.65 and 32,117.10

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Solution

The fourth proportional to 82,046.70, 123,063.65 and 32,117.10 is: 48,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,046.70 : 123,063.65 = 32,117.10 : x
  2. Step 2: Convert to fraction form
    82,046.70/123,063.65 = 32,117.10/x
  3. Step 3: Cross multiply
    82,046.70x = 123,063.65 × 32,117.10
  4. Step 4: Simplify right side
    82,046.70x = 3,952,447,553.42
  5. Step 5: Solve for x
    x = 3,952,447,553.42/82,046.70
  6. Step 6: Final answer
    x = 48,173.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.