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Finding the Fourth Proportional to 109,811.30, 164,607.60 and 50,543.60

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Solution

The fourth proportional to 109,811.30, 164,607.60 and 50,543.60 is: 75,765.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,811.30 : 164,607.60 = 50,543.60 : x
  2. Step 2: Convert to fraction form
    109,811.30/164,607.60 = 50,543.60/x
  3. Step 3: Cross multiply
    109,811.30x = 164,607.60 × 50,543.60
  4. Step 4: Simplify right side
    109,811.30x = 8,319,860,691.36
  5. Step 5: Solve for x
    x = 8,319,860,691.36/109,811.30
  6. Step 6: Final answer
    x = 75,765.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.