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Finding the Fourth Proportional to 102,659.48, 153,989.22 and 38,629.66

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Solution

The fourth proportional to 102,659.48, 153,989.22 and 38,629.66 is: 57,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,659.48 : 153,989.22 = 38,629.66 : x
  2. Step 2: Convert to fraction form
    102,659.48/153,989.22 = 38,629.66/x
  3. Step 3: Cross multiply
    102,659.48x = 153,989.22 × 38,629.66
  4. Step 4: Simplify right side
    102,659.48x = 5,948,551,212.27
  5. Step 5: Solve for x
    x = 5,948,551,212.27/102,659.48
  6. Step 6: Final answer
    x = 57,944.49

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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.