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Finding the Fourth Proportional to 55,052.24, 82,578.72 and 13,499.24

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Solution

The fourth proportional to 55,052.24, 82,578.72 and 13,499.24 is: 20,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,052.24 : 82,578.72 = 13,499.24 : x
  2. Step 2: Convert to fraction form
    55,052.24/82,578.72 = 13,499.24/x
  3. Step 3: Cross multiply
    55,052.24x = 82,578.72 × 13,499.24
  4. Step 4: Simplify right side
    55,052.24x = 1,114,749,960.17
  5. Step 5: Solve for x
    x = 1,114,749,960.17/55,052.24
  6. Step 6: Final answer
    x = 20,248.95

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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.