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Finding the Fourth Proportional to 31,001.45, 42,706.07 and 22,478.52

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Solution

The fourth proportional to 31,001.45, 42,706.07 and 22,478.52 is: 30,965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,001.45 : 42,706.07 = 22,478.52 : x
  2. Step 2: Convert to fraction form
    31,001.45/42,706.07 = 22,478.52/x
  3. Step 3: Cross multiply
    31,001.45x = 42,706.07 × 22,478.52
  4. Step 4: Simplify right side
    31,001.45x = 959,969,380.67
  5. Step 5: Solve for x
    x = 959,969,380.67/31,001.45
  6. Step 6: Final answer
    x = 30,965.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.