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Finding the Fourth Proportional to 38,742.67, 53,460.61 and 21,743.02

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Solution

The fourth proportional to 38,742.67, 53,460.61 and 21,743.02 is: 30,002.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,742.67 : 53,460.61 = 21,743.02 : x
  2. Step 2: Convert to fraction form
    38,742.67/53,460.61 = 21,743.02/x
  3. Step 3: Cross multiply
    38,742.67x = 53,460.61 × 21,743.02
  4. Step 4: Simplify right side
    38,742.67x = 1,162,394,898.38
  5. Step 5: Solve for x
    x = 1,162,394,898.38/38,742.67
  6. Step 6: Final answer
    x = 30,002.96

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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.