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Finding the Fourth Proportional to 78,043.97, 117,084.59 and 25,453.50

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Solution

The fourth proportional to 78,043.97, 117,084.59 and 25,453.50 is: 38,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,043.97 : 117,084.59 = 25,453.50 : x
  2. Step 2: Convert to fraction form
    78,043.97/117,084.59 = 25,453.50/x
  3. Step 3: Cross multiply
    78,043.97x = 117,084.59 × 25,453.50
  4. Step 4: Simplify right side
    78,043.97x = 2,980,212,484.30
  5. Step 5: Solve for x
    x = 2,980,212,484.30/78,043.97
  6. Step 6: Final answer
    x = 38,186.33

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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.