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Finding the Fourth Proportional to 99,732.60, 149,582.25 and 33,179.76

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Solution

The fourth proportional to 99,732.60, 149,582.25 and 33,179.76 is: 49,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,732.60 : 149,582.25 = 33,179.76 : x
  2. Step 2: Convert to fraction form
    99,732.60/149,582.25 = 33,179.76/x
  3. Step 3: Cross multiply
    99,732.60x = 149,582.25 × 33,179.76
  4. Step 4: Simplify right side
    99,732.60x = 4,963,103,155.26
  5. Step 5: Solve for x
    x = 4,963,103,155.26/99,732.60
  6. Step 6: Final answer
    x = 49,764.10

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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.