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Finding the Fourth Proportional to 50,341, 69,470.82 and 27,985

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Solution

The fourth proportional to 50,341, 69,470.82 and 27,985 is: 38,619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,341 : 69,470.82 = 27,985 : x
  2. Step 2: Convert to fraction form
    50,341/69,470.82 = 27,985/x
  3. Step 3: Cross multiply
    50,341x = 69,470.82 × 27,985
  4. Step 4: Simplify right side
    50,341x = 1,944,140,897.70
  5. Step 5: Solve for x
    x = 1,944,140,897.70/50,341
  6. Step 6: Final answer
    x = 38,619.43

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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.