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Finding the Fourth Proportional to 81,649.50, 122,474.34 and 32,401.50

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Solution

The fourth proportional to 81,649.50, 122,474.34 and 32,401.50 is: 48,602.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,649.50 : 122,474.34 = 32,401.50 : x
  2. Step 2: Convert to fraction form
    81,649.50/122,474.34 = 32,401.50/x
  3. Step 3: Cross multiply
    81,649.50x = 122,474.34 × 32,401.50
  4. Step 4: Simplify right side
    81,649.50x = 3,968,352,327.51
  5. Step 5: Solve for x
    x = 3,968,352,327.51/81,649.50
  6. Step 6: Final answer
    x = 48,602.29

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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.