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Finding the Fourth Proportional to 30,561.16, 42,177 and 17,644.60

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Solution

The fourth proportional to 30,561.16, 42,177 and 17,644.60 is: 24,351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,561.16 : 42,177 = 17,644.60 : x
  2. Step 2: Convert to fraction form
    30,561.16/42,177 = 17,644.60/x
  3. Step 3: Cross multiply
    30,561.16x = 42,177 × 17,644.60
  4. Step 4: Simplify right side
    30,561.16x = 744,196,294.20
  5. Step 5: Solve for x
    x = 744,196,294.20/30,561.16
  6. Step 6: Final answer
    x = 24,351.05

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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.