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Finding the Fourth Proportional to 96,865.77, 145,287.69 and 33,675.24

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Solution

The fourth proportional to 96,865.77, 145,287.69 and 33,675.24 is: 50,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,865.77 : 145,287.69 = 33,675.24 : x
  2. Step 2: Convert to fraction form
    96,865.77/145,287.69 = 33,675.24/x
  3. Step 3: Cross multiply
    96,865.77x = 145,287.69 × 33,675.24
  4. Step 4: Simplify right side
    96,865.77x = 4,892,597,829.80
  5. Step 5: Solve for x
    x = 4,892,597,829.80/96,865.77
  6. Step 6: Final answer
    x = 50,509.05

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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.