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Finding the Fourth Proportional to 38,538.92, 53,185.25 and 22,406.15

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Solution

The fourth proportional to 38,538.92, 53,185.25 and 22,406.15 is: 30,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,538.92 : 53,185.25 = 22,406.15 : x
  2. Step 2: Convert to fraction form
    38,538.92/53,185.25 = 22,406.15/x
  3. Step 3: Cross multiply
    38,538.92x = 53,185.25 × 22,406.15
  4. Step 4: Simplify right side
    38,538.92x = 1,191,676,479.38
  5. Step 5: Solve for x
    x = 1,191,676,479.38/38,538.92
  6. Step 6: Final answer
    x = 30,921.38

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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.