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Finding the Fourth Proportional to 96,801.84, 145,180.86 and 36,808.90

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Solution

The fourth proportional to 96,801.84, 145,180.86 and 36,808.90 is: 55,205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,801.84 : 145,180.86 = 36,808.90 : x
  2. Step 2: Convert to fraction form
    96,801.84/145,180.86 = 36,808.90/x
  3. Step 3: Cross multiply
    96,801.84x = 145,180.86 × 36,808.90
  4. Step 4: Simplify right side
    96,801.84x = 5,343,947,757.65
  5. Step 5: Solve for x
    x = 5,343,947,757.65/96,801.84
  6. Step 6: Final answer
    x = 55,205.02

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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.