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Finding the Fourth Proportional to 99,894.47, 149,791.54 and 33,311.03

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Solution

The fourth proportional to 99,894.47, 149,791.54 and 33,311.03 is: 49,949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,894.47 : 149,791.54 = 33,311.03 : x
  2. Step 2: Convert to fraction form
    99,894.47/149,791.54 = 33,311.03/x
  3. Step 3: Cross multiply
    99,894.47x = 149,791.54 × 33,311.03
  4. Step 4: Simplify right side
    99,894.47x = 4,989,710,482.69
  5. Step 5: Solve for x
    x = 4,989,710,482.69/99,894.47
  6. Step 6: Final answer
    x = 49,949.82

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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.