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Finding the Fourth Proportional to 30,577.68, 42,198.76 and 17,151.76

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Solution

The fourth proportional to 30,577.68, 42,198.76 and 17,151.76 is: 23,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.68 : 42,198.76 = 17,151.76 : x
  2. Step 2: Convert to fraction form
    30,577.68/42,198.76 = 17,151.76/x
  3. Step 3: Cross multiply
    30,577.68x = 42,198.76 × 17,151.76
  4. Step 4: Simplify right side
    30,577.68x = 723,783,003.82
  5. Step 5: Solve for x
    x = 723,783,003.82/30,577.68
  6. Step 6: Final answer
    x = 23,670.30

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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.