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Finding the Fourth Proportional to 50,329.32, 69,454.26 and 27,669.74

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Solution

The fourth proportional to 50,329.32, 69,454.26 and 27,669.74 is: 38,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,329.32 : 69,454.26 = 27,669.74 : x
  2. Step 2: Convert to fraction form
    50,329.32/69,454.26 = 27,669.74/x
  3. Step 3: Cross multiply
    50,329.32x = 69,454.26 × 27,669.74
  4. Step 4: Simplify right side
    50,329.32x = 1,921,781,316.09
  5. Step 5: Solve for x
    x = 1,921,781,316.09/50,329.32
  6. Step 6: Final answer
    x = 38,184.13

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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.