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Finding the Fourth Proportional to 30,738.56, 42,419.93 and 17,127.52

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Solution

The fourth proportional to 30,738.56, 42,419.93 and 17,127.52 is: 23,636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,738.56 : 42,419.93 = 17,127.52 : x
  2. Step 2: Convert to fraction form
    30,738.56/42,419.93 = 17,127.52/x
  3. Step 3: Cross multiply
    30,738.56x = 42,419.93 × 17,127.52
  4. Step 4: Simplify right side
    30,738.56x = 726,548,007.79
  5. Step 5: Solve for x
    x = 726,548,007.79/30,738.56
  6. Step 6: Final answer
    x = 23,636.37

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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.