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Finding the Fourth Proportional to 38,282.88, 52,816 and 28,235.36

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Solution

The fourth proportional to 38,282.88, 52,816 and 28,235.36 is: 38,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,282.88 : 52,816 = 28,235.36 : x
  2. Step 2: Convert to fraction form
    38,282.88/52,816 = 28,235.36/x
  3. Step 3: Cross multiply
    38,282.88x = 52,816 × 28,235.36
  4. Step 4: Simplify right side
    38,282.88x = 1,491,278,773.76
  5. Step 5: Solve for x
    x = 1,491,278,773.76/38,282.88
  6. Step 6: Final answer
    x = 38,954.20

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Why These Related Problems?

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