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Finding the Fourth Proportional to 30,544.80, 42,094.74 and 23,819.77

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Solution

The fourth proportional to 30,544.80, 42,094.74 and 23,819.77 is: 32,826.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,544.80 : 42,094.74 = 23,819.77 : x
  2. Step 2: Convert to fraction form
    30,544.80/42,094.74 = 23,819.77/x
  3. Step 3: Cross multiply
    30,544.80x = 42,094.74 × 23,819.77
  4. Step 4: Simplify right side
    30,544.80x = 1,002,687,032.97
  5. Step 5: Solve for x
    x = 1,002,687,032.97/30,544.80
  6. Step 6: Final answer
    x = 32,826.77

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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.