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Finding the Fourth Proportional to 99,871.65, 149,797.08 and 33,304.50

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Solution

The fourth proportional to 99,871.65, 149,797.08 and 33,304.50 is: 49,953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,871.65 : 149,797.08 = 33,304.50 : x
  2. Step 2: Convert to fraction form
    99,871.65/149,797.08 = 33,304.50/x
  3. Step 3: Cross multiply
    99,871.65x = 149,797.08 × 33,304.50
  4. Step 4: Simplify right side
    99,871.65x = 4,988,916,850.86
  5. Step 5: Solve for x
    x = 4,988,916,850.86/99,871.65
  6. Step 6: Final answer
    x = 49,953.28

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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.