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Finding the Fourth Proportional to 70,835.92, 97,758.63 and 39,793.68

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Solution

The fourth proportional to 70,835.92, 97,758.63 and 39,793.68 is: 54,918.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,835.92 : 97,758.63 = 39,793.68 : x
  2. Step 2: Convert to fraction form
    70,835.92/97,758.63 = 39,793.68/x
  3. Step 3: Cross multiply
    70,835.92x = 97,758.63 × 39,793.68
  4. Step 4: Simplify right side
    70,835.92x = 3,890,175,639.46
  5. Step 5: Solve for x
    x = 3,890,175,639.46/70,835.92
  6. Step 6: Final answer
    x = 54,918.12

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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.