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Finding the Fourth Proportional to 50,540.15, 69,746.22 and 27,878.74

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Solution

The fourth proportional to 50,540.15, 69,746.22 and 27,878.74 is: 38,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,540.15 : 69,746.22 = 27,878.74 : x
  2. Step 2: Convert to fraction form
    50,540.15/69,746.22 = 27,878.74/x
  3. Step 3: Cross multiply
    50,540.15x = 69,746.22 × 27,878.74
  4. Step 4: Simplify right side
    50,540.15x = 1,944,436,559.00
  5. Step 5: Solve for x
    x = 1,944,436,559.00/50,540.15
  6. Step 6: Final answer
    x = 38,473.10

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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.