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Finding the Fourth Proportional to 38,149.02, 52,645.41 and 21,382.02

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Solution

The fourth proportional to 38,149.02, 52,645.41 and 21,382.02 is: 29,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,149.02 : 52,645.41 = 21,382.02 : x
  2. Step 2: Convert to fraction form
    38,149.02/52,645.41 = 21,382.02/x
  3. Step 3: Cross multiply
    38,149.02x = 52,645.41 × 21,382.02
  4. Step 4: Simplify right side
    38,149.02x = 1,125,665,209.53
  5. Step 5: Solve for x
    x = 1,125,665,209.53/38,149.02
  6. Step 6: Final answer
    x = 29,507.05

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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.