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Finding the Fourth Proportional to 27,937.35, 41,900.15 and 8,210.55

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Solution

The fourth proportional to 27,937.35, 41,900.15 and 8,210.55 is: 12,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,937.35 : 41,900.15 = 8,210.55 : x
  2. Step 2: Convert to fraction form
    27,937.35/41,900.15 = 8,210.55/x
  3. Step 3: Cross multiply
    27,937.35x = 41,900.15 × 8,210.55
  4. Step 4: Simplify right side
    27,937.35x = 344,023,235.53
  5. Step 5: Solve for x
    x = 344,023,235.53/27,937.35
  6. Step 6: Final answer
    x = 12,314.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.