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Finding the Fourth Proportional to 99,792.66, 149,671.98 and 33,225.24

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Solution

The fourth proportional to 99,792.66, 149,671.98 and 33,225.24 is: 49,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,792.66 : 149,671.98 = 33,225.24 : x
  2. Step 2: Convert to fraction form
    99,792.66/149,671.98 = 33,225.24/x
  3. Step 3: Cross multiply
    99,792.66x = 149,671.98 × 33,225.24
  4. Step 4: Simplify right side
    99,792.66x = 4,972,887,456.78
  5. Step 5: Solve for x
    x = 4,972,887,456.78/99,792.66
  6. Step 6: Final answer
    x = 49,832.20

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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.