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Finding the Fourth Proportional to 55,491, 83,238.92 and 16,052.10

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Solution

The fourth proportional to 55,491, 83,238.92 and 16,052.10 is: 24,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,491 : 83,238.92 = 16,052.10 : x
  2. Step 2: Convert to fraction form
    55,491/83,238.92 = 16,052.10/x
  3. Step 3: Cross multiply
    55,491x = 83,238.92 × 16,052.10
  4. Step 4: Simplify right side
    55,491x = 1,336,159,467.73
  5. Step 5: Solve for x
    x = 1,336,159,467.73/55,491
  6. Step 6: Final answer
    x = 24,078.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.