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Finding the Fourth Proportional to 30,577.77, 42,197.39 and 17,839.71

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Solution

The fourth proportional to 30,577.77, 42,197.39 and 17,839.71 is: 24,618.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.77 : 42,197.39 = 17,839.71 : x
  2. Step 2: Convert to fraction form
    30,577.77/42,197.39 = 17,839.71/x
  3. Step 3: Cross multiply
    30,577.77x = 42,197.39 × 17,839.71
  4. Step 4: Simplify right side
    30,577.77x = 752,789,200.36
  5. Step 5: Solve for x
    x = 752,789,200.36/30,577.77
  6. Step 6: Final answer
    x = 24,618.84

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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.