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Finding the Fourth Proportional to 75,238.76, 112,760.94 and 35,807.96

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Solution

The fourth proportional to 75,238.76, 112,760.94 and 35,807.96 is: 53,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,238.76 : 112,760.94 = 35,807.96 : x
  2. Step 2: Convert to fraction form
    75,238.76/112,760.94 = 35,807.96/x
  3. Step 3: Cross multiply
    75,238.76x = 112,760.94 × 35,807.96
  4. Step 4: Simplify right side
    75,238.76x = 4,037,739,229.08
  5. Step 5: Solve for x
    x = 4,037,739,229.08/75,238.76
  6. Step 6: Final answer
    x = 53,665.68

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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.