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Finding the Fourth Proportional to 30,146.28, 41,594.34 and 17,566.44

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Solution

The fourth proportional to 30,146.28, 41,594.34 and 17,566.44 is: 24,237.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146.28 : 41,594.34 = 17,566.44 : x
  2. Step 2: Convert to fraction form
    30,146.28/41,594.34 = 17,566.44/x
  3. Step 3: Cross multiply
    30,146.28x = 41,594.34 × 17,566.44
  4. Step 4: Simplify right side
    30,146.28x = 730,664,477.95
  5. Step 5: Solve for x
    x = 730,664,477.95/30,146.28
  6. Step 6: Final answer
    x = 24,237.30

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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.