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Finding the Fourth Proportional to 99,324.83, 149,007.77 and 32,769.02

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Solution

The fourth proportional to 99,324.83, 149,007.77 and 32,769.02 is: 49,160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,324.83 : 149,007.77 = 32,769.02 : x
  2. Step 2: Convert to fraction form
    99,324.83/149,007.77 = 32,769.02/x
  3. Step 3: Cross multiply
    99,324.83x = 149,007.77 × 32,769.02
  4. Step 4: Simplify right side
    99,324.83x = 4,882,838,595.29
  5. Step 5: Solve for x
    x = 4,882,838,595.29/99,324.83
  6. Step 6: Final answer
    x = 49,160.30

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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.