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Finding the Fourth Proportional to 38,903.14, 53,691.51 and 22,775.38

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Solution

The fourth proportional to 38,903.14, 53,691.51 and 22,775.38 is: 31,433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,903.14 : 53,691.51 = 22,775.38 : x
  2. Step 2: Convert to fraction form
    38,903.14/53,691.51 = 22,775.38/x
  3. Step 3: Cross multiply
    38,903.14x = 53,691.51 × 22,775.38
  4. Step 4: Simplify right side
    38,903.14x = 1,222,844,366.09
  5. Step 5: Solve for x
    x = 1,222,844,366.09/38,903.14
  6. Step 6: Final answer
    x = 31,433.05

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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.