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Finding the Fourth Proportional to 75,959.66, 113,962.56 and 53,815.88

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Solution

The fourth proportional to 75,959.66, 113,962.56 and 53,815.88 is: 80,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,959.66 : 113,962.56 = 53,815.88 : x
  2. Step 2: Convert to fraction form
    75,959.66/113,962.56 = 53,815.88/x
  3. Step 3: Cross multiply
    75,959.66x = 113,962.56 × 53,815.88
  4. Step 4: Simplify right side
    75,959.66x = 6,132,995,453.45
  5. Step 5: Solve for x
    x = 6,132,995,453.45/75,959.66
  6. Step 6: Final answer
    x = 80,740.16

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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.