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Finding the Fourth Proportional to 99,194.56, 148,792.64 and 32,639.20

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Solution

The fourth proportional to 99,194.56, 148,792.64 and 32,639.20 is: 48,959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,194.56 : 148,792.64 = 32,639.20 : x
  2. Step 2: Convert to fraction form
    99,194.56/148,792.64 = 32,639.20/x
  3. Step 3: Cross multiply
    99,194.56x = 148,792.64 × 32,639.20
  4. Step 4: Simplify right side
    99,194.56x = 4,856,472,735.49
  5. Step 5: Solve for x
    x = 4,856,472,735.49/99,194.56
  6. Step 6: Final answer
    x = 48,959.06

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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.