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Finding the Fourth Proportional to 29,765.95, 41,074.29 and 17,664.34

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Solution

The fourth proportional to 29,765.95, 41,074.29 and 17,664.34 is: 24,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,765.95 : 41,074.29 = 17,664.34 : x
  2. Step 2: Convert to fraction form
    29,765.95/41,074.29 = 17,664.34/x
  3. Step 3: Cross multiply
    29,765.95x = 41,074.29 × 17,664.34
  4. Step 4: Simplify right side
    29,765.95x = 725,550,223.82
  5. Step 5: Solve for x
    x = 725,550,223.82/29,765.95
  6. Step 6: Final answer
    x = 24,375.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.