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Finding the Fourth Proportional to 52,085.44, 71,876.32 and 29,728.32

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Solution

The fourth proportional to 52,085.44, 71,876.32 and 29,728.32 is: 41,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,085.44 : 71,876.32 = 29,728.32 : x
  2. Step 2: Convert to fraction form
    52,085.44/71,876.32 = 29,728.32/x
  3. Step 3: Cross multiply
    52,085.44x = 71,876.32 × 29,728.32
  4. Step 4: Simplify right side
    52,085.44x = 2,136,762,241.38
  5. Step 5: Solve for x
    x = 2,136,762,241.38/52,085.44
  6. Step 6: Final answer
    x = 41,024.18

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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.