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Finding the Fourth Proportional to 75,850.80, 113,612.04 and 49,475.52

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Solution

The fourth proportional to 75,850.80, 113,612.04 and 49,475.52 is: 74,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,850.80 : 113,612.04 = 49,475.52 : x
  2. Step 2: Convert to fraction form
    75,850.80/113,612.04 = 49,475.52/x
  3. Step 3: Cross multiply
    75,850.80x = 113,612.04 × 49,475.52
  4. Step 4: Simplify right side
    75,850.80x = 5,621,014,757.26
  5. Step 5: Solve for x
    x = 5,621,014,757.26/75,850.80
  6. Step 6: Final answer
    x = 74,106.20

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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.