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Finding the Fourth Proportional to 109,005.50, 163,503.65 and 37,944.33

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Solution

The fourth proportional to 109,005.50, 163,503.65 and 37,944.33 is: 56,914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,005.50 : 163,503.65 = 37,944.33 : x
  2. Step 2: Convert to fraction form
    109,005.50/163,503.65 = 37,944.33/x
  3. Step 3: Cross multiply
    109,005.50x = 163,503.65 × 37,944.33
  4. Step 4: Simplify right side
    109,005.50x = 6,204,036,262.08
  5. Step 5: Solve for x
    x = 6,204,036,262.08/109,005.50
  6. Step 6: Final answer
    x = 56,914.89

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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.