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Finding the Fourth Proportional to 30,583.32, 42,196.92 and 17,659.41

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Solution

The fourth proportional to 30,583.32, 42,196.92 and 17,659.41 is: 24,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,583.32 : 42,196.92 = 17,659.41 : x
  2. Step 2: Convert to fraction form
    30,583.32/42,196.92 = 17,659.41/x
  3. Step 3: Cross multiply
    30,583.32x = 42,196.92 × 17,659.41
  4. Step 4: Simplify right side
    30,583.32x = 745,172,711.02
  5. Step 5: Solve for x
    x = 745,172,711.02/30,583.32
  6. Step 6: Final answer
    x = 24,365.33

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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.