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Finding the Fourth Proportional to 31,152.68, 42,989.19 and 17,722.67

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Solution

The fourth proportional to 31,152.68, 42,989.19 and 17,722.67 is: 24,456.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,152.68 : 42,989.19 = 17,722.67 : x
  2. Step 2: Convert to fraction form
    31,152.68/42,989.19 = 17,722.67/x
  3. Step 3: Cross multiply
    31,152.68x = 42,989.19 × 17,722.67
  4. Step 4: Simplify right side
    31,152.68x = 761,883,227.94
  5. Step 5: Solve for x
    x = 761,883,227.94/31,152.68
  6. Step 6: Final answer
    x = 24,456.43

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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.