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Finding the Fourth Proportional to 30,581.72, 42,192.80 and 17,832.02

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Solution

The fourth proportional to 30,581.72, 42,192.80 and 17,832.02 is: 24,602.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,581.72 : 42,192.80 = 17,832.02 : x
  2. Step 2: Convert to fraction form
    30,581.72/42,192.80 = 17,832.02/x
  3. Step 3: Cross multiply
    30,581.72x = 42,192.80 × 17,832.02
  4. Step 4: Simplify right side
    30,581.72x = 752,382,853.46
  5. Step 5: Solve for x
    x = 752,382,853.46/30,581.72
  6. Step 6: Final answer
    x = 24,602.37

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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.