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Finding the Fourth Proportional to 75,253.54, 112,871.08 and 43,680.77

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Solution

The fourth proportional to 75,253.54, 112,871.08 and 43,680.77 is: 65,515.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,253.54 : 112,871.08 = 43,680.77 : x
  2. Step 2: Convert to fraction form
    75,253.54/112,871.08 = 43,680.77/x
  3. Step 3: Cross multiply
    75,253.54x = 112,871.08 × 43,680.77
  4. Step 4: Simplify right side
    75,253.54x = 4,930,295,575.93
  5. Step 5: Solve for x
    x = 4,930,295,575.93/75,253.54
  6. Step 6: Final answer
    x = 65,515.80

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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.