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Finding the Fourth Proportional to 30,494.01, 42,081.57 and 17,065.83

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Solution

The fourth proportional to 30,494.01, 42,081.57 and 17,065.83 is: 23,550.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494.01 : 42,081.57 = 17,065.83 : x
  2. Step 2: Convert to fraction form
    30,494.01/42,081.57 = 17,065.83/x
  3. Step 3: Cross multiply
    30,494.01x = 42,081.57 × 17,065.83
  4. Step 4: Simplify right side
    30,494.01x = 718,156,919.75
  5. Step 5: Solve for x
    x = 718,156,919.75/30,494.01
  6. Step 6: Final answer
    x = 23,550.75

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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.