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Finding the Fourth Proportional to 99,853.80, 149,806.08 and 29,733.72

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Solution

The fourth proportional to 99,853.80, 149,806.08 and 29,733.72 is: 44,608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,853.80 : 149,806.08 = 29,733.72 : x
  2. Step 2: Convert to fraction form
    99,853.80/149,806.08 = 29,733.72/x
  3. Step 3: Cross multiply
    99,853.80x = 149,806.08 × 29,733.72
  4. Step 4: Simplify right side
    99,853.80x = 4,454,292,037.02
  5. Step 5: Solve for x
    x = 4,454,292,037.02/99,853.80
  6. Step 6: Final answer
    x = 44,608.14

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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.