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Finding the Fourth Proportional to 38,149, 52,645.62 and 21,382.12

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Solution

The fourth proportional to 38,149, 52,645.62 and 21,382.12 is: 29,507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,149 : 52,645.62 = 21,382.12 : x
  2. Step 2: Convert to fraction form
    38,149/52,645.62 = 21,382.12/x
  3. Step 3: Cross multiply
    38,149x = 52,645.62 × 21,382.12
  4. Step 4: Simplify right side
    38,149x = 1,125,674,964.31
  5. Step 5: Solve for x
    x = 1,125,674,964.31/38,149
  6. Step 6: Final answer
    x = 29,507.33

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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.