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Finding the Fourth Proportional to 31,746.67, 47,623.20 and 8,373.11

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Solution

The fourth proportional to 31,746.67, 47,623.20 and 8,373.11 is: 12,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,746.67 : 47,623.20 = 8,373.11 : x
  2. Step 2: Convert to fraction form
    31,746.67/47,623.20 = 8,373.11/x
  3. Step 3: Cross multiply
    31,746.67x = 47,623.20 × 8,373.11
  4. Step 4: Simplify right side
    31,746.67x = 398,754,292.15
  5. Step 5: Solve for x
    x = 398,754,292.15/31,746.67
  6. Step 6: Final answer
    x = 12,560.51

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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.