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Finding the Fourth Proportional to 95,763.84, 143,624.16 and 36,578.40

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Solution

The fourth proportional to 95,763.84, 143,624.16 and 36,578.40 is: 54,859.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,763.84 : 143,624.16 = 36,578.40 : x
  2. Step 2: Convert to fraction form
    95,763.84/143,624.16 = 36,578.40/x
  3. Step 3: Cross multiply
    95,763.84x = 143,624.16 × 36,578.40
  4. Step 4: Simplify right side
    95,763.84x = 5,253,541,974.14
  5. Step 5: Solve for x
    x = 5,253,541,974.14/95,763.84
  6. Step 6: Final answer
    x = 54,859.35

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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.