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Finding the Fourth Proportional to 83,442.88, 125,165.44 and 30,851.84

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Solution

The fourth proportional to 83,442.88, 125,165.44 and 30,851.84 is: 46,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,442.88 : 125,165.44 = 30,851.84 : x
  2. Step 2: Convert to fraction form
    83,442.88/125,165.44 = 30,851.84/x
  3. Step 3: Cross multiply
    83,442.88x = 125,165.44 × 30,851.84
  4. Step 4: Simplify right side
    83,442.88x = 3,861,584,128.41
  5. Step 5: Solve for x
    x = 3,861,584,128.41/83,442.88
  6. Step 6: Final answer
    x = 46,278.17

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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.