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Finding the Fourth Proportional to 31,372.98, 47,065.29 and 10,314.19

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Solution

The fourth proportional to 31,372.98, 47,065.29 and 10,314.19 is: 15,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,372.98 : 47,065.29 = 10,314.19 : x
  2. Step 2: Convert to fraction form
    31,372.98/47,065.29 = 10,314.19/x
  3. Step 3: Cross multiply
    31,372.98x = 47,065.29 × 10,314.19
  4. Step 4: Simplify right side
    31,372.98x = 485,440,343.47
  5. Step 5: Solve for x
    x = 485,440,343.47/31,372.98
  6. Step 6: Final answer
    x = 15,473.20

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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.