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Finding the Fourth Proportional to 38,182.68, 52,691.94 and 23,278.68

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Solution

The fourth proportional to 38,182.68, 52,691.94 and 23,278.68 is: 32,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,182.68 : 52,691.94 = 23,278.68 : x
  2. Step 2: Convert to fraction form
    38,182.68/52,691.94 = 23,278.68/x
  3. Step 3: Cross multiply
    38,182.68x = 52,691.94 × 23,278.68
  4. Step 4: Simplify right side
    38,182.68x = 1,226,598,809.84
  5. Step 5: Solve for x
    x = 1,226,598,809.84/38,182.68
  6. Step 6: Final answer
    x = 32,124.48

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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.