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Finding the Fourth Proportional to 38,202.02, 52,708.02 and 24,773.84

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Solution

The fourth proportional to 38,202.02, 52,708.02 and 24,773.84 is: 34,180.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,202.02 : 52,708.02 = 24,773.84 : x
  2. Step 2: Convert to fraction form
    38,202.02/52,708.02 = 24,773.84/x
  3. Step 3: Cross multiply
    38,202.02x = 52,708.02 × 24,773.84
  4. Step 4: Simplify right side
    38,202.02x = 1,305,780,054.20
  5. Step 5: Solve for x
    x = 1,305,780,054.20/38,202.02
  6. Step 6: Final answer
    x = 34,180.92

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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.