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Finding the Fourth Proportional to 82,427.40, 123,616.80 and 32,490.90

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Solution

The fourth proportional to 82,427.40, 123,616.80 and 32,490.90 is: 48,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,427.40 : 123,616.80 = 32,490.90 : x
  2. Step 2: Convert to fraction form
    82,427.40/123,616.80 = 32,490.90/x
  3. Step 3: Cross multiply
    82,427.40x = 123,616.80 × 32,490.90
  4. Step 4: Simplify right side
    82,427.40x = 4,016,421,087.12
  5. Step 5: Solve for x
    x = 4,016,421,087.12/82,427.40
  6. Step 6: Final answer
    x = 48,726.77

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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.