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Finding the Fourth Proportional to 99,877.84, 149,817.33 and 33,317.77

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Solution

The fourth proportional to 99,877.84, 149,817.33 and 33,317.77 is: 49,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,877.84 : 149,817.33 = 33,317.77 : x
  2. Step 2: Convert to fraction form
    99,877.84/149,817.33 = 33,317.77/x
  3. Step 3: Cross multiply
    99,877.84x = 149,817.33 × 33,317.77
  4. Step 4: Simplify right side
    99,877.84x = 4,991,579,342.95
  5. Step 5: Solve for x
    x = 4,991,579,342.95/99,877.84
  6. Step 6: Final answer
    x = 49,976.85

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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.