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Finding the Fourth Proportional to 82,437, 123,572.42 and 32,497.77

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Solution

The fourth proportional to 82,437, 123,572.42 and 32,497.77 is: 48,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,437 : 123,572.42 = 32,497.77 : x
  2. Step 2: Convert to fraction form
    82,437/123,572.42 = 32,497.77/x
  3. Step 3: Cross multiply
    82,437x = 123,572.42 × 32,497.77
  4. Step 4: Simplify right side
    82,437x = 4,015,827,921.01
  5. Step 5: Solve for x
    x = 4,015,827,921.01/82,437
  6. Step 6: Final answer
    x = 48,713.90

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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.