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Finding the Fourth Proportional to 68,512.74, 102,782.88 and 24,170.91

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Solution

The fourth proportional to 68,512.74, 102,782.88 and 24,170.91 is: 36,261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,512.74 : 102,782.88 = 24,170.91 : x
  2. Step 2: Convert to fraction form
    68,512.74/102,782.88 = 24,170.91/x
  3. Step 3: Cross multiply
    68,512.74x = 102,782.88 × 24,170.91
  4. Step 4: Simplify right side
    68,512.74x = 2,484,355,742.02
  5. Step 5: Solve for x
    x = 2,484,355,742.02/68,512.74
  6. Step 6: Final answer
    x = 36,261.22

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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.