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Finding the Fourth Proportional to 95,954.92, 143,931.32 and 32,774.32

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Solution

The fourth proportional to 95,954.92, 143,931.32 and 32,774.32 is: 49,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,954.92 : 143,931.32 = 32,774.32 : x
  2. Step 2: Convert to fraction form
    95,954.92/143,931.32 = 32,774.32/x
  3. Step 3: Cross multiply
    95,954.92x = 143,931.32 × 32,774.32
  4. Step 4: Simplify right side
    95,954.92x = 4,717,251,139.70
  5. Step 5: Solve for x
    x = 4,717,251,139.70/95,954.92
  6. Step 6: Final answer
    x = 49,161.12

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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.