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Finding the Fourth Proportional to 63,828, 95,785.74 and 22,275

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Solution

The fourth proportional to 63,828, 95,785.74 and 22,275 is: 33,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,828 : 95,785.74 = 22,275 : x
  2. Step 2: Convert to fraction form
    63,828/95,785.74 = 22,275/x
  3. Step 3: Cross multiply
    63,828x = 95,785.74 × 22,275
  4. Step 4: Simplify right side
    63,828x = 2,133,627,358.50
  5. Step 5: Solve for x
    x = 2,133,627,358.50/63,828
  6. Step 6: Final answer
    x = 33,427.76

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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.