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Finding the Fourth Proportional to 50,540.72, 69,758.70 and 34,434.68

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Solution

The fourth proportional to 50,540.72, 69,758.70 and 34,434.68 is: 47,528.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,540.72 : 69,758.70 = 34,434.68 : x
  2. Step 2: Convert to fraction form
    50,540.72/69,758.70 = 34,434.68/x
  3. Step 3: Cross multiply
    50,540.72x = 69,758.70 × 34,434.68
  4. Step 4: Simplify right side
    50,540.72x = 2,402,118,511.72
  5. Step 5: Solve for x
    x = 2,402,118,511.72/50,540.72
  6. Step 6: Final answer
    x = 47,528.38

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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.