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Finding the Fourth Proportional to 70,162.38, 96,819 and 38,324.52

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Solution

The fourth proportional to 70,162.38, 96,819 and 38,324.52 is: 52,885.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,162.38 : 96,819 = 38,324.52 : x
  2. Step 2: Convert to fraction form
    70,162.38/96,819 = 38,324.52/x
  3. Step 3: Cross multiply
    70,162.38x = 96,819 × 38,324.52
  4. Step 4: Simplify right side
    70,162.38x = 3,710,541,701.88
  5. Step 5: Solve for x
    x = 3,710,541,701.88/70,162.38
  6. Step 6: Final answer
    x = 52,885.06

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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.