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Finding the Fourth Proportional to 98,675.97, 148,015.76 and 32,115.84

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Solution

The fourth proportional to 98,675.97, 148,015.76 and 32,115.84 is: 48,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,675.97 : 148,015.76 = 32,115.84 : x
  2. Step 2: Convert to fraction form
    98,675.97/148,015.76 = 32,115.84/x
  3. Step 3: Cross multiply
    98,675.97x = 148,015.76 × 32,115.84
  4. Step 4: Simplify right side
    98,675.97x = 4,753,650,305.06
  5. Step 5: Solve for x
    x = 4,753,650,305.06/98,675.97
  6. Step 6: Final answer
    x = 48,174.35

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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.