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Finding the Fourth Proportional to 31,655.10, 47,476.17 and 10,880.22

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Solution

The fourth proportional to 31,655.10, 47,476.17 and 10,880.22 is: 16,318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,655.10 : 47,476.17 = 10,880.22 : x
  2. Step 2: Convert to fraction form
    31,655.10/47,476.17 = 10,880.22/x
  3. Step 3: Cross multiply
    31,655.10x = 47,476.17 × 10,880.22
  4. Step 4: Simplify right side
    31,655.10x = 516,551,174.36
  5. Step 5: Solve for x
    x = 516,551,174.36/31,655.10
  6. Step 6: Final answer
    x = 16,318.10

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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.