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Finding the Fourth Proportional to 38,686.26, 53,383.02 and 22,769.76

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Solution

The fourth proportional to 38,686.26, 53,383.02 and 22,769.76 is: 31,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,686.26 : 53,383.02 = 22,769.76 : x
  2. Step 2: Convert to fraction form
    38,686.26/53,383.02 = 22,769.76/x
  3. Step 3: Cross multiply
    38,686.26x = 53,383.02 × 22,769.76
  4. Step 4: Simplify right side
    38,686.26x = 1,215,518,553.48
  5. Step 5: Solve for x
    x = 1,215,518,553.48/38,686.26
  6. Step 6: Final answer
    x = 31,419.90

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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.