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Finding the Fourth Proportional to 30,832.48, 42,548.99 and 16,685.32

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Solution

The fourth proportional to 30,832.48, 42,548.99 and 16,685.32 is: 23,025.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.48 : 42,548.99 = 16,685.32 : x
  2. Step 2: Convert to fraction form
    30,832.48/42,548.99 = 16,685.32/x
  3. Step 3: Cross multiply
    30,832.48x = 42,548.99 × 16,685.32
  4. Step 4: Simplify right side
    30,832.48x = 709,943,513.83
  5. Step 5: Solve for x
    x = 709,943,513.83/30,832.48
  6. Step 6: Final answer
    x = 23,025.83

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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.