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Finding the Fourth Proportional to 80,124.10, 110,568.50 and 44,314

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Solution

The fourth proportional to 80,124.10, 110,568.50 and 44,314 is: 61,151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,124.10 : 110,568.50 = 44,314 : x
  2. Step 2: Convert to fraction form
    80,124.10/110,568.50 = 44,314/x
  3. Step 3: Cross multiply
    80,124.10x = 110,568.50 × 44,314
  4. Step 4: Simplify right side
    80,124.10x = 4,899,732,509
  5. Step 5: Solve for x
    x = 4,899,732,509/80,124.10
  6. Step 6: Final answer
    x = 61,151.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.