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Finding the Fourth Proportional to 31,498.27, 47,218.24 and 10,707.19

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Solution

The fourth proportional to 31,498.27, 47,218.24 and 10,707.19 is: 16,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498.27 : 47,218.24 = 10,707.19 : x
  2. Step 2: Convert to fraction form
    31,498.27/47,218.24 = 10,707.19/x
  3. Step 3: Cross multiply
    31,498.27x = 47,218.24 × 10,707.19
  4. Step 4: Simplify right side
    31,498.27x = 505,574,562.48
  5. Step 5: Solve for x
    x = 505,574,562.48/31,498.27
  6. Step 6: Final answer
    x = 16,050.87

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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.