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Finding the Fourth Proportional to 78,538.75, 117,819.07 and 25,232.33

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Solution

The fourth proportional to 78,538.75, 117,819.07 and 25,232.33 is: 37,852.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,538.75 : 117,819.07 = 25,232.33 : x
  2. Step 2: Convert to fraction form
    78,538.75/117,819.07 = 25,232.33/x
  3. Step 3: Cross multiply
    78,538.75x = 117,819.07 × 25,232.33
  4. Step 4: Simplify right side
    78,538.75x = 2,972,849,886.00
  5. Step 5: Solve for x
    x = 2,972,849,886.00/78,538.75
  6. Step 6: Final answer
    x = 37,852.02

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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.