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Finding the Fourth Proportional to 38,093.76, 52,569.54 and 22,189.14

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Solution

The fourth proportional to 38,093.76, 52,569.54 and 22,189.14 is: 30,621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,093.76 : 52,569.54 = 22,189.14 : x
  2. Step 2: Convert to fraction form
    38,093.76/52,569.54 = 22,189.14/x
  3. Step 3: Cross multiply
    38,093.76x = 52,569.54 × 22,189.14
  4. Step 4: Simplify right side
    38,093.76x = 1,166,472,882.80
  5. Step 5: Solve for x
    x = 1,166,472,882.80/38,093.76
  6. Step 6: Final answer
    x = 30,621.10

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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.