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Finding the Fourth Proportional to 38,278.88, 52,788 and 24,845.12

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Solution

The fourth proportional to 38,278.88, 52,788 and 24,845.12 is: 34,262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,278.88 : 52,788 = 24,845.12 : x
  2. Step 2: Convert to fraction form
    38,278.88/52,788 = 24,845.12/x
  3. Step 3: Cross multiply
    38,278.88x = 52,788 × 24,845.12
  4. Step 4: Simplify right side
    38,278.88x = 1,311,524,194.56
  5. Step 5: Solve for x
    x = 1,311,524,194.56/38,278.88
  6. Step 6: Final answer
    x = 34,262.35

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1.5x scale

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.