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Finding the Fourth Proportional to 30,617.88, 42,252.32 and 17,188.80

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Solution

The fourth proportional to 30,617.88, 42,252.32 and 17,188.80 is: 23,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,617.88 : 42,252.32 = 17,188.80 : x
  2. Step 2: Convert to fraction form
    30,617.88/42,252.32 = 17,188.80/x
  3. Step 3: Cross multiply
    30,617.88x = 42,252.32 × 17,188.80
  4. Step 4: Simplify right side
    30,617.88x = 726,266,592.07
  5. Step 5: Solve for x
    x = 726,266,592.07/30,617.88
  6. Step 6: Final answer
    x = 23,720.34

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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.