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Finding the Fourth Proportional to 30,512.88, 42,105.78 and 17,084.01

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Solution

The fourth proportional to 30,512.88, 42,105.78 and 17,084.01 is: 23,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,512.88 : 42,105.78 = 17,084.01 : x
  2. Step 2: Convert to fraction form
    30,512.88/42,105.78 = 17,084.01/x
  3. Step 3: Cross multiply
    30,512.88x = 42,105.78 × 17,084.01
  4. Step 4: Simplify right side
    30,512.88x = 719,335,566.58
  5. Step 5: Solve for x
    x = 719,335,566.58/30,512.88
  6. Step 6: Final answer
    x = 23,574.82

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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.