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Finding the Fourth Proportional to 57,049.76, 78,715.32 and 34,382.72

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Solution

The fourth proportional to 57,049.76, 78,715.32 and 34,382.72 is: 47,440.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,049.76 : 78,715.32 = 34,382.72 : x
  2. Step 2: Convert to fraction form
    57,049.76/78,715.32 = 34,382.72/x
  3. Step 3: Cross multiply
    57,049.76x = 78,715.32 × 34,382.72
  4. Step 4: Simplify right side
    57,049.76x = 2,706,446,807.27
  5. Step 5: Solve for x
    x = 2,706,446,807.27/57,049.76
  6. Step 6: Final answer
    x = 47,440.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.