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Finding the Fourth Proportional to 31,402.46, 47,108.82 and 9,216.56

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Solution

The fourth proportional to 31,402.46, 47,108.82 and 9,216.56 is: 13,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,402.46 : 47,108.82 = 9,216.56 : x
  2. Step 2: Convert to fraction form
    31,402.46/47,108.82 = 9,216.56/x
  3. Step 3: Cross multiply
    31,402.46x = 47,108.82 × 9,216.56
  4. Step 4: Simplify right side
    31,402.46x = 434,181,266.06
  5. Step 5: Solve for x
    x = 434,181,266.06/31,402.46
  6. Step 6: Final answer
    x = 13,826.35

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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.