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Finding the Fourth Proportional to 99,266.64, 148,914.72 and 32,694.48

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Solution

The fourth proportional to 99,266.64, 148,914.72 and 32,694.48 is: 49,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,266.64 : 148,914.72 = 32,694.48 : x
  2. Step 2: Convert to fraction form
    99,266.64/148,914.72 = 32,694.48/x
  3. Step 3: Cross multiply
    99,266.64x = 148,914.72 × 32,694.48
  4. Step 4: Simplify right side
    99,266.64x = 4,868,689,334.75
  5. Step 5: Solve for x
    x = 4,868,689,334.75/99,266.64
  6. Step 6: Final answer
    x = 49,046.58

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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.