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Finding the Fourth Proportional to 30,990.83, 42,774.02 and 19,675.82

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Solution

The fourth proportional to 30,990.83, 42,774.02 and 19,675.82 is: 27,156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,990.83 : 42,774.02 = 19,675.82 : x
  2. Step 2: Convert to fraction form
    30,990.83/42,774.02 = 19,675.82/x
  3. Step 3: Cross multiply
    30,990.83x = 42,774.02 × 19,675.82
  4. Step 4: Simplify right side
    30,990.83x = 841,613,605.95
  5. Step 5: Solve for x
    x = 841,613,605.95/30,990.83
  6. Step 6: Final answer
    x = 27,156.86

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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.