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Finding the Fourth Proportional to 38,278.80, 52,873.80 and 29,434.80

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Solution

The fourth proportional to 38,278.80, 52,873.80 and 29,434.80 is: 40,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,278.80 : 52,873.80 = 29,434.80 : x
  2. Step 2: Convert to fraction form
    38,278.80/52,873.80 = 29,434.80/x
  3. Step 3: Cross multiply
    38,278.80x = 52,873.80 × 29,434.80
  4. Step 4: Simplify right side
    38,278.80x = 1,556,329,728.24
  5. Step 5: Solve for x
    x = 1,556,329,728.24/38,278.80
  6. Step 6: Final answer
    x = 40,657.75

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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.