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Finding the Fourth Proportional to 38,101.68, 52,580.25 and 21,105.92

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Solution

The fourth proportional to 38,101.68, 52,580.25 and 21,105.92 is: 29,126.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,101.68 : 52,580.25 = 21,105.92 : x
  2. Step 2: Convert to fraction form
    38,101.68/52,580.25 = 21,105.92/x
  3. Step 3: Cross multiply
    38,101.68x = 52,580.25 × 21,105.92
  4. Step 4: Simplify right side
    38,101.68x = 1,109,754,287.18
  5. Step 5: Solve for x
    x = 1,109,754,287.18/38,101.68
  6. Step 6: Final answer
    x = 29,126.12

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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.