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Finding the Fourth Proportional to 96,801.80, 145,209.90 and 34,464.20

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Solution

The fourth proportional to 96,801.80, 145,209.90 and 34,464.20 is: 51,698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,801.80 : 145,209.90 = 34,464.20 : x
  2. Step 2: Convert to fraction form
    96,801.80/145,209.90 = 34,464.20/x
  3. Step 3: Cross multiply
    96,801.80x = 145,209.90 × 34,464.20
  4. Step 4: Simplify right side
    96,801.80x = 5,004,543,035.58
  5. Step 5: Solve for x
    x = 5,004,543,035.58/96,801.80
  6. Step 6: Final answer
    x = 51,698.86

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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.