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Finding the Fourth Proportional to 38,686.90, 53,383.92 and 22,770.40

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Solution

The fourth proportional to 38,686.90, 53,383.92 and 22,770.40 is: 31,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,686.90 : 53,383.92 = 22,770.40 : x
  2. Step 2: Convert to fraction form
    38,686.90/53,383.92 = 22,770.40/x
  3. Step 3: Cross multiply
    38,686.90x = 53,383.92 × 22,770.40
  4. Step 4: Simplify right side
    38,686.90x = 1,215,573,211.97
  5. Step 5: Solve for x
    x = 1,215,573,211.97/38,686.90
  6. Step 6: Final answer
    x = 31,420.80

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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.