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Finding the Fourth Proportional to 68,503.32, 102,743.10 and 24,119.64

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Solution

The fourth proportional to 68,503.32, 102,743.10 and 24,119.64 is: 36,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,503.32 : 102,743.10 = 24,119.64 : x
  2. Step 2: Convert to fraction form
    68,503.32/102,743.10 = 24,119.64/x
  3. Step 3: Cross multiply
    68,503.32x = 102,743.10 × 24,119.64
  4. Step 4: Simplify right side
    68,503.32x = 2,478,126,584.48
  5. Step 5: Solve for x
    x = 2,478,126,584.48/68,503.32
  6. Step 6: Final answer
    x = 36,175.28

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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.