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Finding the Fourth Proportional to 30,657.82, 42,309.73 and 17,047.39

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Solution

The fourth proportional to 30,657.82, 42,309.73 and 17,047.39 is: 23,526.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.82 : 42,309.73 = 17,047.39 : x
  2. Step 2: Convert to fraction form
    30,657.82/42,309.73 = 17,047.39/x
  3. Step 3: Cross multiply
    30,657.82x = 42,309.73 × 17,047.39
  4. Step 4: Simplify right side
    30,657.82x = 721,270,256.56
  5. Step 5: Solve for x
    x = 721,270,256.56/30,657.82
  6. Step 6: Final answer
    x = 23,526.47

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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.