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Finding the Fourth Proportional to 109,847.84, 164,771.76 and 34,967.66

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Solution

The fourth proportional to 109,847.84, 164,771.76 and 34,967.66 is: 52,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,847.84 : 164,771.76 = 34,967.66 : x
  2. Step 2: Convert to fraction form
    109,847.84/164,771.76 = 34,967.66/x
  3. Step 3: Cross multiply
    109,847.84x = 164,771.76 × 34,967.66
  4. Step 4: Simplify right side
    109,847.84x = 5,761,682,881.28
  5. Step 5: Solve for x
    x = 5,761,682,881.28/109,847.84
  6. Step 6: Final answer
    x = 52,451.49

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1.5x scale

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.