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Finding the Fourth Proportional to 41,880, 62,819.48 and 12,296.77

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Solution

The fourth proportional to 41,880, 62,819.48 and 12,296.77 is: 18,445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,880 : 62,819.48 = 12,296.77 : x
  2. Step 2: Convert to fraction form
    41,880/62,819.48 = 12,296.77/x
  3. Step 3: Cross multiply
    41,880x = 62,819.48 × 12,296.77
  4. Step 4: Simplify right side
    41,880x = 772,476,697.08
  5. Step 5: Solve for x
    x = 772,476,697.08/41,880
  6. Step 6: Final answer
    x = 18,445.00

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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.