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Finding the Fourth Proportional to 52,001.22, 71,788.24 and 36,058

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Solution

The fourth proportional to 52,001.22, 71,788.24 and 36,058 is: 49,778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,001.22 : 71,788.24 = 36,058 : x
  2. Step 2: Convert to fraction form
    52,001.22/71,788.24 = 36,058/x
  3. Step 3: Cross multiply
    52,001.22x = 71,788.24 × 36,058
  4. Step 4: Simplify right side
    52,001.22x = 2,588,540,357.92
  5. Step 5: Solve for x
    x = 2,588,540,357.92/52,001.22
  6. Step 6: Final answer
    x = 49,778.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.