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Finding the Fourth Proportional to 78,059.09, 117,100.83 and 25,456.34

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Solution

The fourth proportional to 78,059.09, 117,100.83 and 25,456.34 is: 38,188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,059.09 : 117,100.83 = 25,456.34 : x
  2. Step 2: Convert to fraction form
    78,059.09/117,100.83 = 25,456.34/x
  3. Step 3: Cross multiply
    78,059.09x = 117,100.83 × 25,456.34
  4. Step 4: Simplify right side
    78,059.09x = 2,980,958,542.76
  5. Step 5: Solve for x
    x = 2,980,958,542.76/78,059.09
  6. Step 6: Final answer
    x = 38,188.49

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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.