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Finding the Fourth Proportional to 38,218, 57,296.84 and 24,148.38

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Solution

The fourth proportional to 38,218, 57,296.84 and 24,148.38 is: 36,203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,218 : 57,296.84 = 24,148.38 : x
  2. Step 2: Convert to fraction form
    38,218/57,296.84 = 24,148.38/x
  3. Step 3: Cross multiply
    38,218x = 57,296.84 × 24,148.38
  4. Step 4: Simplify right side
    38,218x = 1,383,625,865.12
  5. Step 5: Solve for x
    x = 1,383,625,865.12/38,218
  6. Step 6: Final answer
    x = 36,203.51

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1.5x scale

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.