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Finding the Fourth Proportional to 109,693.67, 164,540.50 and 38,669.02

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Solution

The fourth proportional to 109,693.67, 164,540.50 and 38,669.02 is: 58,003.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,693.67 : 164,540.50 = 38,669.02 : x
  2. Step 2: Convert to fraction form
    109,693.67/164,540.50 = 38,669.02/x
  3. Step 3: Cross multiply
    109,693.67x = 164,540.50 × 38,669.02
  4. Step 4: Simplify right side
    109,693.67x = 6,362,619,377.29
  5. Step 5: Solve for x
    x = 6,362,619,377.29/109,693.67
  6. Step 6: Final answer
    x = 58,003.53

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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.