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Finding the Fourth Proportional to 72,958.06, 100,701.24 and 47,534.20

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Solution

The fourth proportional to 72,958.06, 100,701.24 and 47,534.20 is: 65,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,958.06 : 100,701.24 = 47,534.20 : x
  2. Step 2: Convert to fraction form
    72,958.06/100,701.24 = 47,534.20/x
  3. Step 3: Cross multiply
    72,958.06x = 100,701.24 × 47,534.20
  4. Step 4: Simplify right side
    72,958.06x = 4,786,752,882.41
  5. Step 5: Solve for x
    x = 4,786,752,882.41/72,958.06
  6. Step 6: Final answer
    x = 65,609.65

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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.