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Finding the Fourth Proportional to 30,767.60, 42,482.02 and 18,847.22

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Solution

The fourth proportional to 30,767.60, 42,482.02 and 18,847.22 is: 26,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,767.60 : 42,482.02 = 18,847.22 : x
  2. Step 2: Convert to fraction form
    30,767.60/42,482.02 = 18,847.22/x
  3. Step 3: Cross multiply
    30,767.60x = 42,482.02 × 18,847.22
  4. Step 4: Simplify right side
    30,767.60x = 800,667,976.98
  5. Step 5: Solve for x
    x = 800,667,976.98/30,767.60
  6. Step 6: Final answer
    x = 26,023.09

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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.