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Finding the Fourth Proportional to 42,016.50, 63,035.55 and 14,314.50

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Solution

The fourth proportional to 42,016.50, 63,035.55 and 14,314.50 is: 21,475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,016.50 : 63,035.55 = 14,314.50 : x
  2. Step 2: Convert to fraction form
    42,016.50/63,035.55 = 14,314.50/x
  3. Step 3: Cross multiply
    42,016.50x = 63,035.55 × 14,314.50
  4. Step 4: Simplify right side
    42,016.50x = 902,322,380.48
  5. Step 5: Solve for x
    x = 902,322,380.48/42,016.50
  6. Step 6: Final answer
    x = 21,475.43

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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.