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Finding the Fourth Proportional to 50,039.52, 68,999.28 and 34,092

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Solution

The fourth proportional to 50,039.52, 68,999.28 and 34,092 is: 47,009.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,039.52 : 68,999.28 = 34,092 : x
  2. Step 2: Convert to fraction form
    50,039.52/68,999.28 = 34,092/x
  3. Step 3: Cross multiply
    50,039.52x = 68,999.28 × 34,092
  4. Step 4: Simplify right side
    50,039.52x = 2,352,323,453.76
  5. Step 5: Solve for x
    x = 2,352,323,453.76/50,039.52
  6. Step 6: Final answer
    x = 47,009.31

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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.