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Finding the Fourth Proportional to 99,792.25, 149,712.29 and 33,232.95

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Solution

The fourth proportional to 99,792.25, 149,712.29 and 33,232.95 is: 49,857.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,792.25 : 149,712.29 = 33,232.95 : x
  2. Step 2: Convert to fraction form
    99,792.25/149,712.29 = 33,232.95/x
  3. Step 3: Cross multiply
    99,792.25x = 149,712.29 × 33,232.95
  4. Step 4: Simplify right side
    99,792.25x = 4,975,380,881.79
  5. Step 5: Solve for x
    x = 4,975,380,881.79/99,792.25
  6. Step 6: Final answer
    x = 49,857.39

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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.