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Finding the Fourth Proportional to 55,964.90, 83,850.15 and 47,216.90

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Solution

The fourth proportional to 55,964.90, 83,850.15 and 47,216.90 is: 70,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,964.90 : 83,850.15 = 47,216.90 : x
  2. Step 2: Convert to fraction form
    55,964.90/83,850.15 = 47,216.90/x
  3. Step 3: Cross multiply
    55,964.90x = 83,850.15 × 47,216.90
  4. Step 4: Simplify right side
    55,964.90x = 3,959,144,147.54
  5. Step 5: Solve for x
    x = 3,959,144,147.54/55,964.90
  6. Step 6: Final answer
    x = 70,743.34

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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.