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Finding the Fourth Proportional to 51,388.32, 77,035.70 and 19,778.20

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Solution

The fourth proportional to 51,388.32, 77,035.70 and 19,778.20 is: 29,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,388.32 : 77,035.70 = 19,778.20 : x
  2. Step 2: Convert to fraction form
    51,388.32/77,035.70 = 19,778.20/x
  3. Step 3: Cross multiply
    51,388.32x = 77,035.70 × 19,778.20
  4. Step 4: Simplify right side
    51,388.32x = 1,523,627,481.74
  5. Step 5: Solve for x
    x = 1,523,627,481.74/51,388.32
  6. Step 6: Final answer
    x = 29,649.30

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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.