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Finding the Fourth Proportional to 71,322.10, 107,059.95 and 40,218.10

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Solution

The fourth proportional to 71,322.10, 107,059.95 and 40,218.10 is: 60,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,322.10 : 107,059.95 = 40,218.10 : x
  2. Step 2: Convert to fraction form
    71,322.10/107,059.95 = 40,218.10/x
  3. Step 3: Cross multiply
    71,322.10x = 107,059.95 × 40,218.10
  4. Step 4: Simplify right side
    71,322.10x = 4,305,747,775.10
  5. Step 5: Solve for x
    x = 4,305,747,775.10/71,322.10
  6. Step 6: Final answer
    x = 60,370.46

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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.