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Finding the Fourth Proportional to 80,953.22, 121,443.88 and 24,792

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Solution

The fourth proportional to 80,953.22, 121,443.88 and 24,792 is: 37,192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,953.22 : 121,443.88 = 24,792 : x
  2. Step 2: Convert to fraction form
    80,953.22/121,443.88 = 24,792/x
  3. Step 3: Cross multiply
    80,953.22x = 121,443.88 × 24,792
  4. Step 4: Simplify right side
    80,953.22x = 3,010,836,672.96
  5. Step 5: Solve for x
    x = 3,010,836,672.96/80,953.22
  6. Step 6: Final answer
    x = 37,192.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.