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Finding the Fourth Proportional to 50,432.59, 69,595.71 and 27,771.40

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Solution

The fourth proportional to 50,432.59, 69,595.71 and 27,771.40 is: 38,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,432.59 : 69,595.71 = 27,771.40 : x
  2. Step 2: Convert to fraction form
    50,432.59/69,595.71 = 27,771.40/x
  3. Step 3: Cross multiply
    50,432.59x = 69,595.71 × 27,771.40
  4. Step 4: Simplify right side
    50,432.59x = 1,932,769,952.72
  5. Step 5: Solve for x
    x = 1,932,769,952.72/50,432.59
  6. Step 6: Final answer
    x = 38,323.83

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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.