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Finding the Fourth Proportional to 38,403.90, 52,990.96 and 21,404.42

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Solution

The fourth proportional to 38,403.90, 52,990.96 and 21,404.42 is: 29,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,403.90 : 52,990.96 = 21,404.42 : x
  2. Step 2: Convert to fraction form
    38,403.90/52,990.96 = 21,404.42/x
  3. Step 3: Cross multiply
    38,403.90x = 52,990.96 × 21,404.42
  4. Step 4: Simplify right side
    38,403.90x = 1,134,240,764.04
  5. Step 5: Solve for x
    x = 1,134,240,764.04/38,403.90
  6. Step 6: Final answer
    x = 29,534.52

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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.