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Finding the Fourth Proportional to 37,850, 52,234.62 and 21,083

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Solution

The fourth proportional to 37,850, 52,234.62 and 21,083 is: 29,095.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,850 : 52,234.62 = 21,083 : x
  2. Step 2: Convert to fraction form
    37,850/52,234.62 = 21,083/x
  3. Step 3: Cross multiply
    37,850x = 52,234.62 × 21,083
  4. Step 4: Simplify right side
    37,850x = 1,101,262,493.46
  5. Step 5: Solve for x
    x = 1,101,262,493.46/37,850
  6. Step 6: Final answer
    x = 29,095.44

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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.