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Finding the Fourth Proportional to 75,274.56, 112,948.56 and 30,914.64

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Solution

The fourth proportional to 75,274.56, 112,948.56 and 30,914.64 is: 46,387.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,274.56 : 112,948.56 = 30,914.64 : x
  2. Step 2: Convert to fraction form
    75,274.56/112,948.56 = 30,914.64/x
  3. Step 3: Cross multiply
    75,274.56x = 112,948.56 × 30,914.64
  4. Step 4: Simplify right side
    75,274.56x = 3,491,764,070.92
  5. Step 5: Solve for x
    x = 3,491,764,070.92/75,274.56
  6. Step 6: Final answer
    x = 46,387.04

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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.