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Finding the Fourth Proportional to 30,691.90, 42,378.66 and 23,965.86

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Solution

The fourth proportional to 30,691.90, 42,378.66 and 23,965.86 is: 33,091.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,691.90 : 42,378.66 = 23,965.86 : x
  2. Step 2: Convert to fraction form
    30,691.90/42,378.66 = 23,965.86/x
  3. Step 3: Cross multiply
    30,691.90x = 42,378.66 × 23,965.86
  4. Step 4: Simplify right side
    30,691.90x = 1,015,641,032.55
  5. Step 5: Solve for x
    x = 1,015,641,032.55/30,691.90
  6. Step 6: Final answer
    x = 33,091.50

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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.