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Finding the Fourth Proportional to 30,832.80, 42,549.12 and 16,685.52

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Solution

The fourth proportional to 30,832.80, 42,549.12 and 16,685.52 is: 23,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.80 : 42,549.12 = 16,685.52 : x
  2. Step 2: Convert to fraction form
    30,832.80/42,549.12 = 16,685.52/x
  3. Step 3: Cross multiply
    30,832.80x = 42,549.12 × 16,685.52
  4. Step 4: Simplify right side
    30,832.80x = 709,954,192.74
  5. Step 5: Solve for x
    x = 709,954,192.74/30,832.80
  6. Step 6: Final answer
    x = 23,025.94

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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.