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Finding the Fourth Proportional to 29,806.60, 44,693.70 and 12,278.20

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Solution

The fourth proportional to 29,806.60, 44,693.70 and 12,278.20 is: 18,410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,806.60 : 44,693.70 = 12,278.20 : x
  2. Step 2: Convert to fraction form
    29,806.60/44,693.70 = 12,278.20/x
  3. Step 3: Cross multiply
    29,806.60x = 44,693.70 × 12,278.20
  4. Step 4: Simplify right side
    29,806.60x = 548,758,187.34
  5. Step 5: Solve for x
    x = 548,758,187.34/29,806.60
  6. Step 6: Final answer
    x = 18,410.63

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Why These Related Problems?

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