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Finding the Fourth Proportional to 38,003.40, 52,451.01 and 24,577.65

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Solution

The fourth proportional to 38,003.40, 52,451.01 and 24,577.65 is: 33,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,003.40 : 52,451.01 = 24,577.65 : x
  2. Step 2: Convert to fraction form
    38,003.40/52,451.01 = 24,577.65/x
  3. Step 3: Cross multiply
    38,003.40x = 52,451.01 × 24,577.65
  4. Step 4: Simplify right side
    38,003.40x = 1,289,122,565.93
  5. Step 5: Solve for x
    x = 1,289,122,565.93/38,003.40
  6. Step 6: Final answer
    x = 33,921.24

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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.