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Finding the Fourth Proportional to 75,083.20, 112,333.20 and 48,839.20

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Solution

The fourth proportional to 75,083.20, 112,333.20 and 48,839.20 is: 73,069.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,083.20 : 112,333.20 = 48,839.20 : x
  2. Step 2: Convert to fraction form
    75,083.20/112,333.20 = 48,839.20/x
  3. Step 3: Cross multiply
    75,083.20x = 112,333.20 × 48,839.20
  4. Step 4: Simplify right side
    75,083.20x = 5,486,263,621.44
  5. Step 5: Solve for x
    x = 5,486,263,621.44/75,083.20
  6. Step 6: Final answer
    x = 73,069.12

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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.