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Finding the Fourth Proportional to 69,062.34, 103,591.08 and 22,314

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Solution

The fourth proportional to 69,062.34, 103,591.08 and 22,314 is: 33,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,062.34 : 103,591.08 = 22,314 : x
  2. Step 2: Convert to fraction form
    69,062.34/103,591.08 = 22,314/x
  3. Step 3: Cross multiply
    69,062.34x = 103,591.08 × 22,314
  4. Step 4: Simplify right side
    69,062.34x = 2,311,531,359.12
  5. Step 5: Solve for x
    x = 2,311,531,359.12/69,062.34
  6. Step 6: Final answer
    x = 33,470.21

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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.