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Finding the Fourth Proportional to 70,954.10, 106,301.55 and 57,734.90

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Solution

The fourth proportional to 70,954.10, 106,301.55 and 57,734.90 is: 86,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,954.10 : 106,301.55 = 57,734.90 : x
  2. Step 2: Convert to fraction form
    70,954.10/106,301.55 = 57,734.90/x
  3. Step 3: Cross multiply
    70,954.10x = 106,301.55 × 57,734.90
  4. Step 4: Simplify right side
    70,954.10x = 6,137,309,359.10
  5. Step 5: Solve for x
    x = 6,137,309,359.10/70,954.10
  6. Step 6: Final answer
    x = 86,496.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.