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Finding the Fourth Proportional to 56,838.88, 85,287.12 and 38,332

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Solution

The fourth proportional to 56,838.88, 85,287.12 and 38,332 is: 57,517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,838.88 : 85,287.12 = 38,332 : x
  2. Step 2: Convert to fraction form
    56,838.88/85,287.12 = 38,332/x
  3. Step 3: Cross multiply
    56,838.88x = 85,287.12 × 38,332
  4. Step 4: Simplify right side
    56,838.88x = 3,269,225,883.84
  5. Step 5: Solve for x
    x = 3,269,225,883.84/56,838.88
  6. Step 6: Final answer
    x = 57,517.42

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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.