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Finding the Fourth Proportional to 77,820.68, 116,749.50 and 25,230.20

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Solution

The fourth proportional to 77,820.68, 116,749.50 and 25,230.20 is: 37,851.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,820.68 : 116,749.50 = 25,230.20 : x
  2. Step 2: Convert to fraction form
    77,820.68/116,749.50 = 25,230.20/x
  3. Step 3: Cross multiply
    77,820.68x = 116,749.50 × 25,230.20
  4. Step 4: Simplify right side
    77,820.68x = 2,945,613,234.90
  5. Step 5: Solve for x
    x = 2,945,613,234.90/77,820.68
  6. Step 6: Final answer
    x = 37,851.29

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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.