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Finding the Fourth Proportional to 38,686.32, 53,377.56 and 22,769.52

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Solution

The fourth proportional to 38,686.32, 53,377.56 and 22,769.52 is: 31,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,686.32 : 53,377.56 = 22,769.52 : x
  2. Step 2: Convert to fraction form
    38,686.32/53,377.56 = 22,769.52/x
  3. Step 3: Cross multiply
    38,686.32x = 53,377.56 × 22,769.52
  4. Step 4: Simplify right side
    38,686.32x = 1,215,381,419.97
  5. Step 5: Solve for x
    x = 1,215,381,419.97/38,686.32
  6. Step 6: Final answer
    x = 31,416.31

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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.