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Finding the Fourth Proportional to 50,339.61, 69,466.86 and 27,678.42

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Solution

The fourth proportional to 50,339.61, 69,466.86 and 27,678.42 is: 38,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,339.61 : 69,466.86 = 27,678.42 : x
  2. Step 2: Convert to fraction form
    50,339.61/69,466.86 = 27,678.42/x
  3. Step 3: Cross multiply
    50,339.61x = 69,466.86 × 27,678.42
  4. Step 4: Simplify right side
    50,339.61x = 1,922,732,927.16
  5. Step 5: Solve for x
    x = 1,922,732,927.16/50,339.61
  6. Step 6: Final answer
    x = 38,195.23

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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.