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Finding the Fourth Proportional to 33,998, 50,999.88 and 9,374

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Solution

The fourth proportional to 33,998, 50,999.88 and 9,374 is: 14,061.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,998 : 50,999.88 = 9,374 : x
  2. Step 2: Convert to fraction form
    33,998/50,999.88 = 9,374/x
  3. Step 3: Cross multiply
    33,998x = 50,999.88 × 9,374
  4. Step 4: Simplify right side
    33,998x = 478,072,875.12
  5. Step 5: Solve for x
    x = 478,072,875.12/33,998
  6. Step 6: Final answer
    x = 14,061.79

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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.