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Finding the Fourth Proportional to 38,578.84, 57,769.17 and 26,715.76

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Solution

The fourth proportional to 38,578.84, 57,769.17 and 26,715.76 is: 40,005.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,578.84 : 57,769.17 = 26,715.76 : x
  2. Step 2: Convert to fraction form
    38,578.84/57,769.17 = 26,715.76/x
  3. Step 3: Cross multiply
    38,578.84x = 57,769.17 × 26,715.76
  4. Step 4: Simplify right side
    38,578.84x = 1,543,347,281.12
  5. Step 5: Solve for x
    x = 1,543,347,281.12/38,578.84
  6. Step 6: Final answer
    x = 40,005.02

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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.