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Finding the Fourth Proportional to 99,449.28, 149,152.32 and 32,873.76

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Solution

The fourth proportional to 99,449.28, 149,152.32 and 32,873.76 is: 49,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,449.28 : 149,152.32 = 32,873.76 : x
  2. Step 2: Convert to fraction form
    99,449.28/149,152.32 = 32,873.76/x
  3. Step 3: Cross multiply
    99,449.28x = 149,152.32 × 32,873.76
  4. Step 4: Simplify right side
    99,449.28x = 4,903,197,571.12
  5. Step 5: Solve for x
    x = 4,903,197,571.12/99,449.28
  6. Step 6: Final answer
    x = 49,303.50

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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.