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Finding the Fourth Proportional to 31,406.68, 47,110.29 and 9,220.42

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Solution

The fourth proportional to 31,406.68, 47,110.29 and 9,220.42 is: 13,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.68 : 47,110.29 = 9,220.42 : x
  2. Step 2: Convert to fraction form
    31,406.68/47,110.29 = 9,220.42/x
  3. Step 3: Cross multiply
    31,406.68x = 47,110.29 × 9,220.42
  4. Step 4: Simplify right side
    31,406.68x = 434,376,660.12
  5. Step 5: Solve for x
    x = 434,376,660.12/31,406.68
  6. Step 6: Final answer
    x = 13,830.71

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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.