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Finding the Fourth Proportional to 38,264.24, 52,815.06 and 24,834.71

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Solution

The fourth proportional to 38,264.24, 52,815.06 and 24,834.71 is: 34,278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,264.24 : 52,815.06 = 24,834.71 : x
  2. Step 2: Convert to fraction form
    38,264.24/52,815.06 = 24,834.71/x
  3. Step 3: Cross multiply
    38,264.24x = 52,815.06 × 24,834.71
  4. Step 4: Simplify right side
    38,264.24x = 1,311,646,434.66
  5. Step 5: Solve for x
    x = 1,311,646,434.66/38,264.24
  6. Step 6: Final answer
    x = 34,278.65

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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.