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Finding the Fourth Proportional to 99,369.84, 149,023.12 and 32,797.60

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Solution

The fourth proportional to 99,369.84, 149,023.12 and 32,797.60 is: 49,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,369.84 : 149,023.12 = 32,797.60 : x
  2. Step 2: Convert to fraction form
    99,369.84/149,023.12 = 32,797.60/x
  3. Step 3: Cross multiply
    99,369.84x = 149,023.12 × 32,797.60
  4. Step 4: Simplify right side
    99,369.84x = 4,887,600,680.51
  5. Step 5: Solve for x
    x = 4,887,600,680.51/99,369.84
  6. Step 6: Final answer
    x = 49,185.96

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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.