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Finding the Fourth Proportional to 38,113.50, 52,598.25 and 22,195.38

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Solution

The fourth proportional to 38,113.50, 52,598.25 and 22,195.38 is: 30,630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,113.50 : 52,598.25 = 22,195.38 : x
  2. Step 2: Convert to fraction form
    38,113.50/52,598.25 = 22,195.38/x
  3. Step 3: Cross multiply
    38,113.50x = 52,598.25 × 22,195.38
  4. Step 4: Simplify right side
    38,113.50x = 1,167,438,146.09
  5. Step 5: Solve for x
    x = 1,167,438,146.09/38,113.50
  6. Step 6: Final answer
    x = 30,630.57

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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.