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Finding the Fourth Proportional to 99,788.66, 149,706.92 and 33,229.40

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Solution

The fourth proportional to 99,788.66, 149,706.92 and 33,229.40 is: 49,852.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,788.66 : 149,706.92 = 33,229.40 : x
  2. Step 2: Convert to fraction form
    99,788.66/149,706.92 = 33,229.40/x
  3. Step 3: Cross multiply
    99,788.66x = 149,706.92 × 33,229.40
  4. Step 4: Simplify right side
    99,788.66x = 4,974,671,127.45
  5. Step 5: Solve for x
    x = 4,974,671,127.45/99,788.66
  6. Step 6: Final answer
    x = 49,852.07

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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.