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Finding the Fourth Proportional to 30,967.68, 42,685.92 and 23,716.56

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Solution

The fourth proportional to 30,967.68, 42,685.92 and 23,716.56 is: 32,690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,967.68 : 42,685.92 = 23,716.56 : x
  2. Step 2: Convert to fraction form
    30,967.68/42,685.92 = 23,716.56/x
  3. Step 3: Cross multiply
    30,967.68x = 42,685.92 × 23,716.56
  4. Step 4: Simplify right side
    30,967.68x = 1,012,363,182.84
  5. Step 5: Solve for x
    x = 1,012,363,182.84/30,967.68
  6. Step 6: Final answer
    x = 32,690.96

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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.