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Finding the Fourth Proportional to 31,560.39, 47,343.11 and 10,499.67

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Solution

The fourth proportional to 31,560.39, 47,343.11 and 10,499.67 is: 15,750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,560.39 : 47,343.11 = 10,499.67 : x
  2. Step 2: Convert to fraction form
    31,560.39/47,343.11 = 10,499.67/x
  3. Step 3: Cross multiply
    31,560.39x = 47,343.11 × 10,499.67
  4. Step 4: Simplify right side
    31,560.39x = 497,086,979.28
  5. Step 5: Solve for x
    x = 497,086,979.28/31,560.39
  6. Step 6: Final answer
    x = 15,750.34

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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.