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Finding the Fourth Proportional to 76,129, 114,204.39 and 23,542.54

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Solution

The fourth proportional to 76,129, 114,204.39 and 23,542.54 is: 35,317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,129 : 114,204.39 = 23,542.54 : x
  2. Step 2: Convert to fraction form
    76,129/114,204.39 = 23,542.54/x
  3. Step 3: Cross multiply
    76,129x = 114,204.39 × 23,542.54
  4. Step 4: Simplify right side
    76,129x = 2,688,661,419.75
  5. Step 5: Solve for x
    x = 2,688,661,419.75/76,129
  6. Step 6: Final answer
    x = 35,317.18

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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.