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Finding the Fourth Proportional to 42,414.50, 63,621.76 and 13,230.50

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Solution

The fourth proportional to 42,414.50, 63,621.76 and 13,230.50 is: 19,845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,414.50 : 63,621.76 = 13,230.50 : x
  2. Step 2: Convert to fraction form
    42,414.50/63,621.76 = 13,230.50/x
  3. Step 3: Cross multiply
    42,414.50x = 63,621.76 × 13,230.50
  4. Step 4: Simplify right side
    42,414.50x = 841,747,695.68
  5. Step 5: Solve for x
    x = 841,747,695.68/42,414.50
  6. Step 6: Final answer
    x = 19,845.75

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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.