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Finding the Fourth Proportional to 50,216.88, 75,247.52 and 31,710

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Solution

The fourth proportional to 50,216.88, 75,247.52 and 31,710 is: 47,515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,216.88 : 75,247.52 = 31,710 : x
  2. Step 2: Convert to fraction form
    50,216.88/75,247.52 = 31,710/x
  3. Step 3: Cross multiply
    50,216.88x = 75,247.52 × 31,710
  4. Step 4: Simplify right side
    50,216.88x = 2,386,098,859.20
  5. Step 5: Solve for x
    x = 2,386,098,859.20/50,216.88
  6. Step 6: Final answer
    x = 47,515.87

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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.