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Finding the Fourth Proportional to 97,970.76, 146,863.26 and 38,842.92

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Solution

The fourth proportional to 97,970.76, 146,863.26 and 38,842.92 is: 58,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,970.76 : 146,863.26 = 38,842.92 : x
  2. Step 2: Convert to fraction form
    97,970.76/146,863.26 = 38,842.92/x
  3. Step 3: Cross multiply
    97,970.76x = 146,863.26 × 38,842.92
  4. Step 4: Simplify right side
    97,970.76x = 5,704,597,859.12
  5. Step 5: Solve for x
    x = 5,704,597,859.12/97,970.76
  6. Step 6: Final answer
    x = 58,227.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.