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Finding the Fourth Proportional to 99,884.34, 149,776.97 and 36,701.91

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Solution

The fourth proportional to 99,884.34, 149,776.97 and 36,701.91 is: 55,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,884.34 : 149,776.97 = 36,701.91 : x
  2. Step 2: Convert to fraction form
    99,884.34/149,776.97 = 36,701.91/x
  3. Step 3: Cross multiply
    99,884.34x = 149,776.97 × 36,701.91
  4. Step 4: Simplify right side
    99,884.34x = 5,497,100,689.50
  5. Step 5: Solve for x
    x = 5,497,100,689.50/99,884.34
  6. Step 6: Final answer
    x = 55,034.66

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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.