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Finding the Fourth Proportional to 70,142.80, 96,797.64 and 39,930.48

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Solution

The fourth proportional to 70,142.80, 96,797.64 and 39,930.48 is: 55,104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,142.80 : 96,797.64 = 39,930.48 : x
  2. Step 2: Convert to fraction form
    70,142.80/96,797.64 = 39,930.48/x
  3. Step 3: Cross multiply
    70,142.80x = 96,797.64 × 39,930.48
  4. Step 4: Simplify right side
    70,142.80x = 3,865,176,228.07
  5. Step 5: Solve for x
    x = 3,865,176,228.07/70,142.80
  6. Step 6: Final answer
    x = 55,104.39

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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.