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Finding the Fourth Proportional to 31,334.85, 47,025 and 11,616.21

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Solution

The fourth proportional to 31,334.85, 47,025 and 11,616.21 is: 17,432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,334.85 : 47,025 = 11,616.21 : x
  2. Step 2: Convert to fraction form
    31,334.85/47,025 = 11,616.21/x
  3. Step 3: Cross multiply
    31,334.85x = 47,025 × 11,616.21
  4. Step 4: Simplify right side
    31,334.85x = 546,252,275.25
  5. Step 5: Solve for x
    x = 546,252,275.25/31,334.85
  6. Step 6: Final answer
    x = 17,432.74

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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.