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Finding the Fourth Proportional to 95,807.52, 143,776.96 and 33,478

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Solution

The fourth proportional to 95,807.52, 143,776.96 and 33,478 is: 50,239.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,807.52 : 143,776.96 = 33,478 : x
  2. Step 2: Convert to fraction form
    95,807.52/143,776.96 = 33,478/x
  3. Step 3: Cross multiply
    95,807.52x = 143,776.96 × 33,478
  4. Step 4: Simplify right side
    95,807.52x = 4,813,365,066.88
  5. Step 5: Solve for x
    x = 4,813,365,066.88/95,807.52
  6. Step 6: Final answer
    x = 50,239.95

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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.