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Finding the Fourth Proportional to 82,543, 123,863.69 and 29,956.59

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Solution

The fourth proportional to 82,543, 123,863.69 and 29,956.59 is: 44,952.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,543 : 123,863.69 = 29,956.59 : x
  2. Step 2: Convert to fraction form
    82,543/123,863.69 = 29,956.59/x
  3. Step 3: Cross multiply
    82,543x = 123,863.69 × 29,956.59
  4. Step 4: Simplify right side
    82,543x = 3,710,533,777.22
  5. Step 5: Solve for x
    x = 3,710,533,777.22/82,543
  6. Step 6: Final answer
    x = 44,952.74

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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.