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Finding the Fourth Proportional to 115,082.71, 172,715.18 and 48,568.75

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Solution

The fourth proportional to 115,082.71, 172,715.18 and 48,568.75 is: 72,891.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,082.71 : 172,715.18 = 48,568.75 : x
  2. Step 2: Convert to fraction form
    115,082.71/172,715.18 = 48,568.75/x
  3. Step 3: Cross multiply
    115,082.71x = 172,715.18 × 48,568.75
  4. Step 4: Simplify right side
    115,082.71x = 8,388,559,723.99
  5. Step 5: Solve for x
    x = 8,388,559,723.99/115,082.71
  6. Step 6: Final answer
    x = 72,891.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.