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Finding the Fourth Proportional to 31,391.78, 47,082.50 and 10,332.10

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Solution

The fourth proportional to 31,391.78, 47,082.50 and 10,332.10 is: 15,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,391.78 : 47,082.50 = 10,332.10 : x
  2. Step 2: Convert to fraction form
    31,391.78/47,082.50 = 10,332.10/x
  3. Step 3: Cross multiply
    31,391.78x = 47,082.50 × 10,332.10
  4. Step 4: Simplify right side
    31,391.78x = 486,460,811.18
  5. Step 5: Solve for x
    x = 486,460,811.18/31,391.78
  6. Step 6: Final answer
    x = 15,496.44

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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.