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Finding the Fourth Proportional to 109,997.67, 164,999.34 and 35,117.74

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Solution

The fourth proportional to 109,997.67, 164,999.34 and 35,117.74 is: 52,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,997.67 : 164,999.34 = 35,117.74 : x
  2. Step 2: Convert to fraction form
    109,997.67/164,999.34 = 35,117.74/x
  3. Step 3: Cross multiply
    109,997.67x = 164,999.34 × 35,117.74
  4. Step 4: Simplify right side
    109,997.67x = 5,794,403,922.29
  5. Step 5: Solve for x
    x = 5,794,403,922.29/109,997.67
  6. Step 6: Final answer
    x = 52,677.52

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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.