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Finding the Fourth Proportional to 31,422.96, 47,104.74 and 11,688.12

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Solution

The fourth proportional to 31,422.96, 47,104.74 and 11,688.12 is: 17,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,422.96 : 47,104.74 = 11,688.12 : x
  2. Step 2: Convert to fraction form
    31,422.96/47,104.74 = 11,688.12/x
  3. Step 3: Cross multiply
    31,422.96x = 47,104.74 × 11,688.12
  4. Step 4: Simplify right side
    31,422.96x = 550,565,853.69
  5. Step 5: Solve for x
    x = 550,565,853.69/31,422.96
  6. Step 6: Final answer
    x = 17,521.13

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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.