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Finding the Fourth Proportional to 52,657.82, 72,659.32 and 29,997.26

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Solution

The fourth proportional to 52,657.82, 72,659.32 and 29,997.26 is: 41,391.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,657.82 : 72,659.32 = 29,997.26 : x
  2. Step 2: Convert to fraction form
    52,657.82/72,659.32 = 29,997.26/x
  3. Step 3: Cross multiply
    52,657.82x = 72,659.32 × 29,997.26
  4. Step 4: Simplify right side
    52,657.82x = 2,179,580,363.48
  5. Step 5: Solve for x
    x = 2,179,580,363.48/52,657.82
  6. Step 6: Final answer
    x = 41,391.39

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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.