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Finding the Fourth Proportional to 36,426.36, 54,628.74 and 15,645

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Solution

The fourth proportional to 36,426.36, 54,628.74 and 15,645 is: 23,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,426.36 : 54,628.74 = 15,645 : x
  2. Step 2: Convert to fraction form
    36,426.36/54,628.74 = 15,645/x
  3. Step 3: Cross multiply
    36,426.36x = 54,628.74 × 15,645
  4. Step 4: Simplify right side
    36,426.36x = 854,666,637.30
  5. Step 5: Solve for x
    x = 854,666,637.30/36,426.36
  6. Step 6: Final answer
    x = 23,462.86

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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.