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Finding the Fourth Proportional to 30,573.98, 42,194.92 and 17,831.28

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Solution

The fourth proportional to 30,573.98, 42,194.92 and 17,831.28 is: 24,608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,573.98 : 42,194.92 = 17,831.28 : x
  2. Step 2: Convert to fraction form
    30,573.98/42,194.92 = 17,831.28/x
  3. Step 3: Cross multiply
    30,573.98x = 42,194.92 × 17,831.28
  4. Step 4: Simplify right side
    30,573.98x = 752,389,537.98
  5. Step 5: Solve for x
    x = 752,389,537.98/30,573.98
  6. Step 6: Final answer
    x = 24,608.82

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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.