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Finding the Fourth Proportional to 42,427.34, 63,649.22 and 14,351.96

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Solution

The fourth proportional to 42,427.34, 63,649.22 and 14,351.96 is: 21,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,427.34 : 63,649.22 = 14,351.96 : x
  2. Step 2: Convert to fraction form
    42,427.34/63,649.22 = 14,351.96/x
  3. Step 3: Cross multiply
    42,427.34x = 63,649.22 × 14,351.96
  4. Step 4: Simplify right side
    42,427.34x = 913,491,008.19
  5. Step 5: Solve for x
    x = 913,491,008.19/42,427.34
  6. Step 6: Final answer
    x = 21,530.71

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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.