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Finding the Fourth Proportional to 42,299, 63,449.52 and 14,219.42

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Solution

The fourth proportional to 42,299, 63,449.52 and 14,219.42 is: 21,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,299 : 63,449.52 = 14,219.42 : x
  2. Step 2: Convert to fraction form
    42,299/63,449.52 = 14,219.42/x
  3. Step 3: Cross multiply
    42,299x = 63,449.52 × 14,219.42
  4. Step 4: Simplify right side
    42,299x = 902,215,373.68
  5. Step 5: Solve for x
    x = 902,215,373.68/42,299
  6. Step 6: Final answer
    x = 21,329.47

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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.