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Finding the Fourth Proportional to 30,832.62, 42,549.05 and 16,685.46

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Solution

The fourth proportional to 30,832.62, 42,549.05 and 16,685.46 is: 23,025.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.62 : 42,549.05 = 16,685.46 : x
  2. Step 2: Convert to fraction form
    30,832.62/42,549.05 = 16,685.46/x
  3. Step 3: Cross multiply
    30,832.62x = 42,549.05 × 16,685.46
  4. Step 4: Simplify right side
    30,832.62x = 709,950,471.81
  5. Step 5: Solve for x
    x = 709,950,471.81/30,832.62
  6. Step 6: Final answer
    x = 23,025.95

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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.