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Finding the Fourth Proportional to 75,266.64, 112,917.24 and 25,345.44

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Solution

The fourth proportional to 75,266.64, 112,917.24 and 25,345.44 is: 38,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,266.64 : 112,917.24 = 25,345.44 : x
  2. Step 2: Convert to fraction form
    75,266.64/112,917.24 = 25,345.44/x
  3. Step 3: Cross multiply
    75,266.64x = 112,917.24 × 25,345.44
  4. Step 4: Simplify right side
    75,266.64x = 2,861,937,131.39
  5. Step 5: Solve for x
    x = 2,861,937,131.39/75,266.64
  6. Step 6: Final answer
    x = 38,023.98

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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.