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Finding the Fourth Proportional to 109,462.80, 164,181.81 and 29,506.71

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Solution

The fourth proportional to 109,462.80, 164,181.81 and 29,506.71 is: 44,256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,462.80 : 164,181.81 = 29,506.71 : x
  2. Step 2: Convert to fraction form
    109,462.80/164,181.81 = 29,506.71/x
  3. Step 3: Cross multiply
    109,462.80x = 164,181.81 × 29,506.71
  4. Step 4: Simplify right side
    109,462.80x = 4,844,465,054.95
  5. Step 5: Solve for x
    x = 4,844,465,054.95/109,462.80
  6. Step 6: Final answer
    x = 44,256.73

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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.