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Finding the Fourth Proportional to 38,049.92, 52,514.16 and 21,284

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Solution

The fourth proportional to 38,049.92, 52,514.16 and 21,284 is: 29,374.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,049.92 : 52,514.16 = 21,284 : x
  2. Step 2: Convert to fraction form
    38,049.92/52,514.16 = 21,284/x
  3. Step 3: Cross multiply
    38,049.92x = 52,514.16 × 21,284
  4. Step 4: Simplify right side
    38,049.92x = 1,117,711,381.44
  5. Step 5: Solve for x
    x = 1,117,711,381.44/38,049.92
  6. Step 6: Final answer
    x = 29,374.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.