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Finding the Fourth Proportional to 50,827.38, 70,141.78 and 28,471.38

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Solution

The fourth proportional to 50,827.38, 70,141.78 and 28,471.38 is: 39,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,827.38 : 70,141.78 = 28,471.38 : x
  2. Step 2: Convert to fraction form
    50,827.38/70,141.78 = 28,471.38/x
  3. Step 3: Cross multiply
    50,827.38x = 70,141.78 × 28,471.38
  4. Step 4: Simplify right side
    50,827.38x = 1,997,033,272.26
  5. Step 5: Solve for x
    x = 1,997,033,272.26/50,827.38
  6. Step 6: Final answer
    x = 39,290.50

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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.