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Finding the Fourth Proportional to 109,610.60, 164,415.90 and 35,738.60

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Solution

The fourth proportional to 109,610.60, 164,415.90 and 35,738.60 is: 53,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,610.60 : 164,415.90 = 35,738.60 : x
  2. Step 2: Convert to fraction form
    109,610.60/164,415.90 = 35,738.60/x
  3. Step 3: Cross multiply
    109,610.60x = 164,415.90 × 35,738.60
  4. Step 4: Simplify right side
    109,610.60x = 5,875,994,083.74
  5. Step 5: Solve for x
    x = 5,875,994,083.74/109,610.60
  6. Step 6: Final answer
    x = 53,607.90

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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.