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Finding the Fourth Proportional to 52,051.92, 71,757 and 37,122

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Solution

The fourth proportional to 52,051.92, 71,757 and 37,122 is: 51,175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,051.92 : 71,757 = 37,122 : x
  2. Step 2: Convert to fraction form
    52,051.92/71,757 = 37,122/x
  3. Step 3: Cross multiply
    52,051.92x = 71,757 × 37,122
  4. Step 4: Simplify right side
    52,051.92x = 2,663,763,354
  5. Step 5: Solve for x
    x = 2,663,763,354/52,051.92
  6. Step 6: Final answer
    x = 51,175.12

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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.