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Finding the Fourth Proportional to 42,161.29, 63,234.64 and 14,459.29

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Solution

The fourth proportional to 42,161.29, 63,234.64 and 14,459.29 is: 21,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,161.29 : 63,234.64 = 14,459.29 : x
  2. Step 2: Convert to fraction form
    42,161.29/63,234.64 = 14,459.29/x
  3. Step 3: Cross multiply
    42,161.29x = 63,234.64 × 14,459.29
  4. Step 4: Simplify right side
    42,161.29x = 914,327,997.81
  5. Step 5: Solve for x
    x = 914,327,997.81/42,161.29
  6. Step 6: Final answer
    x = 21,686.43

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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.