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Finding the Fourth Proportional to 70,757.76, 97,646.52 and 40,542.48

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Solution

The fourth proportional to 70,757.76, 97,646.52 and 40,542.48 is: 55,949.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,757.76 : 97,646.52 = 40,542.48 : x
  2. Step 2: Convert to fraction form
    70,757.76/97,646.52 = 40,542.48/x
  3. Step 3: Cross multiply
    70,757.76x = 97,646.52 × 40,542.48
  4. Step 4: Simplify right side
    70,757.76x = 3,958,832,084.17
  5. Step 5: Solve for x
    x = 3,958,832,084.17/70,757.76
  6. Step 6: Final answer
    x = 55,949.09

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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.