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Finding the Fourth Proportional to 70,281.96, 96,988.30 and 38,450.48

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Solution

The fourth proportional to 70,281.96, 96,988.30 and 38,450.48 is: 53,061.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,281.96 : 96,988.30 = 38,450.48 : x
  2. Step 2: Convert to fraction form
    70,281.96/96,988.30 = 38,450.48/x
  3. Step 3: Cross multiply
    70,281.96x = 96,988.30 × 38,450.48
  4. Step 4: Simplify right side
    70,281.96x = 3,729,246,689.38
  5. Step 5: Solve for x
    x = 3,729,246,689.38/70,281.96
  6. Step 6: Final answer
    x = 53,061.22

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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.