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Finding the Fourth Proportional to 57,797.16, 86,695.74 and 16,244.16

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Solution

The fourth proportional to 57,797.16, 86,695.74 and 16,244.16 is: 24,366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,797.16 : 86,695.74 = 16,244.16 : x
  2. Step 2: Convert to fraction form
    57,797.16/86,695.74 = 16,244.16/x
  3. Step 3: Cross multiply
    57,797.16x = 86,695.74 × 16,244.16
  4. Step 4: Simplify right side
    57,797.16x = 1,408,299,146.77
  5. Step 5: Solve for x
    x = 1,408,299,146.77/57,797.16
  6. Step 6: Final answer
    x = 24,366.24

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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.