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Finding the Fourth Proportional to 71,807.28, 107,550.53 and 52,040.45

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Solution

The fourth proportional to 71,807.28, 107,550.53 and 52,040.45 is: 77,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,807.28 : 107,550.53 = 52,040.45 : x
  2. Step 2: Convert to fraction form
    71,807.28/107,550.53 = 52,040.45/x
  3. Step 3: Cross multiply
    71,807.28x = 107,550.53 × 52,040.45
  4. Step 4: Simplify right side
    71,807.28x = 5,596,977,180.98
  5. Step 5: Solve for x
    x = 5,596,977,180.98/71,807.28
  6. Step 6: Final answer
    x = 77,944.43

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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.