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Finding the Fourth Proportional to 42,274.30, 63,409.27 and 14,194.57

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Solution

The fourth proportional to 42,274.30, 63,409.27 and 14,194.57 is: 21,291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,274.30 : 63,409.27 = 14,194.57 : x
  2. Step 2: Convert to fraction form
    42,274.30/63,409.27 = 14,194.57/x
  3. Step 3: Cross multiply
    42,274.30x = 63,409.27 × 14,194.57
  4. Step 4: Simplify right side
    42,274.30x = 900,067,321.66
  5. Step 5: Solve for x
    x = 900,067,321.66/42,274.30
  6. Step 6: Final answer
    x = 21,291.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.