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Finding the Fourth Proportional to 99,842.16, 149,713.16 and 33,258.88

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Solution

The fourth proportional to 99,842.16, 149,713.16 and 33,258.88 is: 49,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,842.16 : 149,713.16 = 33,258.88 : x
  2. Step 2: Convert to fraction form
    99,842.16/149,713.16 = 33,258.88/x
  3. Step 3: Cross multiply
    99,842.16x = 149,713.16 × 33,258.88
  4. Step 4: Simplify right side
    99,842.16x = 4,979,292,022.86
  5. Step 5: Solve for x
    x = 4,979,292,022.86/99,842.16
  6. Step 6: Final answer
    x = 49,871.64

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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.