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Finding the Fourth Proportional to 77,993.22, 116,989.74 and 25,402.62

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Solution

The fourth proportional to 77,993.22, 116,989.74 and 25,402.62 is: 38,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,993.22 : 116,989.74 = 25,402.62 : x
  2. Step 2: Convert to fraction form
    77,993.22/116,989.74 = 25,402.62/x
  3. Step 3: Cross multiply
    77,993.22x = 116,989.74 × 25,402.62
  4. Step 4: Simplify right side
    77,993.22x = 2,971,845,909.12
  5. Step 5: Solve for x
    x = 2,971,845,909.12/77,993.22
  6. Step 6: Final answer
    x = 38,103.90

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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.