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Finding the Fourth Proportional to 30,992.83, 42,776.78 and 19,677.82

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Solution

The fourth proportional to 30,992.83, 42,776.78 and 19,677.82 is: 27,159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.83 : 42,776.78 = 19,677.82 : x
  2. Step 2: Convert to fraction form
    30,992.83/42,776.78 = 19,677.82/x
  3. Step 3: Cross multiply
    30,992.83x = 42,776.78 × 19,677.82
  4. Step 4: Simplify right side
    30,992.83x = 841,753,777.02
  5. Step 5: Solve for x
    x = 841,753,777.02/30,992.83
  6. Step 6: Final answer
    x = 27,159.63

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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.