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Finding the Fourth Proportional to 99,251.64, 148,899.96 and 32,698.44

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Solution

The fourth proportional to 99,251.64, 148,899.96 and 32,698.44 is: 49,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,251.64 : 148,899.96 = 32,698.44 : x
  2. Step 2: Convert to fraction form
    99,251.64/148,899.96 = 32,698.44/x
  3. Step 3: Cross multiply
    99,251.64x = 148,899.96 × 32,698.44
  4. Step 4: Simplify right side
    99,251.64x = 4,868,796,408.06
  5. Step 5: Solve for x
    x = 4,868,796,408.06/99,251.64
  6. Step 6: Final answer
    x = 49,055.07

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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.