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Finding the Fourth Proportional to 75,303.92, 112,882.43 and 35,850.44

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Solution

The fourth proportional to 75,303.92, 112,882.43 and 35,850.44 is: 53,740.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,303.92 : 112,882.43 = 35,850.44 : x
  2. Step 2: Convert to fraction form
    75,303.92/112,882.43 = 35,850.44/x
  3. Step 3: Cross multiply
    75,303.92x = 112,882.43 × 35,850.44
  4. Step 4: Simplify right side
    75,303.92x = 4,046,884,308.98
  5. Step 5: Solve for x
    x = 4,046,884,308.98/75,303.92
  6. Step 6: Final answer
    x = 53,740.69

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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.