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Finding the Fourth Proportional to 38,046.19, 52,502.56 and 21,049.42

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Solution

The fourth proportional to 38,046.19, 52,502.56 and 21,049.42 is: 29,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,046.19 : 52,502.56 = 21,049.42 : x
  2. Step 2: Convert to fraction form
    38,046.19/52,502.56 = 21,049.42/x
  3. Step 3: Cross multiply
    38,046.19x = 52,502.56 × 21,049.42
  4. Step 4: Simplify right side
    38,046.19x = 1,105,148,436.52
  5. Step 5: Solve for x
    x = 1,105,148,436.52/38,046.19
  6. Step 6: Final answer
    x = 29,047.55

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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.