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Finding the Fourth Proportional to 78,544.62, 117,800.46 and 25,942.14

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Solution

The fourth proportional to 78,544.62, 117,800.46 and 25,942.14 is: 38,907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,544.62 : 117,800.46 = 25,942.14 : x
  2. Step 2: Convert to fraction form
    78,544.62/117,800.46 = 25,942.14/x
  3. Step 3: Cross multiply
    78,544.62x = 117,800.46 × 25,942.14
  4. Step 4: Simplify right side
    78,544.62x = 3,055,996,025.38
  5. Step 5: Solve for x
    x = 3,055,996,025.38/78,544.62
  6. Step 6: Final answer
    x = 38,907.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.