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Finding the Fourth Proportional to 30,691.40, 42,380.70 and 29,116.76

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Solution

The fourth proportional to 30,691.40, 42,380.70 and 29,116.76 is: 40,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,691.40 : 42,380.70 = 29,116.76 : x
  2. Step 2: Convert to fraction form
    30,691.40/42,380.70 = 29,116.76/x
  3. Step 3: Cross multiply
    30,691.40x = 42,380.70 × 29,116.76
  4. Step 4: Simplify right side
    30,691.40x = 1,233,988,670.53
  5. Step 5: Solve for x
    x = 1,233,988,670.53/30,691.40
  6. Step 6: Final answer
    x = 40,206.33

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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.