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Finding the Fourth Proportional to 53,162.88, 79,741.44 and 16,224

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Solution

The fourth proportional to 53,162.88, 79,741.44 and 16,224 is: 24,335.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,162.88 : 79,741.44 = 16,224 : x
  2. Step 2: Convert to fraction form
    53,162.88/79,741.44 = 16,224/x
  3. Step 3: Cross multiply
    53,162.88x = 79,741.44 × 16,224
  4. Step 4: Simplify right side
    53,162.88x = 1,293,725,122.56
  5. Step 5: Solve for x
    x = 1,293,725,122.56/53,162.88
  6. Step 6: Final answer
    x = 24,335.12

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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.