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Finding the Fourth Proportional to 99,872.53, 149,809.38 and 33,312.49

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Solution

The fourth proportional to 99,872.53, 149,809.38 and 33,312.49 is: 49,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,872.53 : 149,809.38 = 33,312.49 : x
  2. Step 2: Convert to fraction form
    99,872.53/149,809.38 = 33,312.49/x
  3. Step 3: Cross multiply
    99,872.53x = 149,809.38 × 33,312.49
  4. Step 4: Simplify right side
    99,872.53x = 4,990,523,473.16
  5. Step 5: Solve for x
    x = 4,990,523,473.16/99,872.53
  6. Step 6: Final answer
    x = 49,968.93

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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.