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Finding the Fourth Proportional to 82,386.66, 123,496.89 and 32,447.46

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Solution

The fourth proportional to 82,386.66, 123,496.89 and 32,447.46 is: 48,638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,386.66 : 123,496.89 = 32,447.46 : x
  2. Step 2: Convert to fraction form
    82,386.66/123,496.89 = 32,447.46/x
  3. Step 3: Cross multiply
    82,386.66x = 123,496.89 × 32,447.46
  4. Step 4: Simplify right side
    82,386.66x = 4,007,160,398.40
  5. Step 5: Solve for x
    x = 4,007,160,398.40/82,386.66
  6. Step 6: Final answer
    x = 48,638.46

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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.