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Finding the Fourth Proportional to 75,087.20, 112,339.20 and 48,843.20

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Solution

The fourth proportional to 75,087.20, 112,339.20 and 48,843.20 is: 73,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,087.20 : 112,339.20 = 48,843.20 : x
  2. Step 2: Convert to fraction form
    75,087.20/112,339.20 = 48,843.20/x
  3. Step 3: Cross multiply
    75,087.20x = 112,339.20 × 48,843.20
  4. Step 4: Simplify right side
    75,087.20x = 5,487,006,013.44
  5. Step 5: Solve for x
    x = 5,487,006,013.44/75,087.20
  6. Step 6: Final answer
    x = 73,075.12

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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.