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Finding the Fourth Proportional to 82,444.84, 123,583.78 and 32,560.11

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Solution

The fourth proportional to 82,444.84, 123,583.78 and 32,560.11 is: 48,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,444.84 : 123,583.78 = 32,560.11 : x
  2. Step 2: Convert to fraction form
    82,444.84/123,583.78 = 32,560.11/x
  3. Step 3: Cross multiply
    82,444.84x = 123,583.78 × 32,560.11
  4. Step 4: Simplify right side
    82,444.84x = 4,023,901,471.02
  5. Step 5: Solve for x
    x = 4,023,901,471.02/82,444.84
  6. Step 6: Final answer
    x = 48,807.20

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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.