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Finding the Fourth Proportional to 78,492.44, 117,742.73 and 25,906.02

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Solution

The fourth proportional to 78,492.44, 117,742.73 and 25,906.02 is: 38,860.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,492.44 : 117,742.73 = 25,906.02 : x
  2. Step 2: Convert to fraction form
    78,492.44/117,742.73 = 25,906.02/x
  3. Step 3: Cross multiply
    78,492.44x = 117,742.73 × 25,906.02
  4. Step 4: Simplify right side
    78,492.44x = 3,050,245,388.70
  5. Step 5: Solve for x
    x = 3,050,245,388.70/78,492.44
  6. Step 6: Final answer
    x = 38,860.37

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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.