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Finding the Fourth Proportional to 29,825.58, 41,159.22 and 17,078.78

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Solution

The fourth proportional to 29,825.58, 41,159.22 and 17,078.78 is: 23,568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,825.58 : 41,159.22 = 17,078.78 : x
  2. Step 2: Convert to fraction form
    29,825.58/41,159.22 = 17,078.78/x
  3. Step 3: Cross multiply
    29,825.58x = 41,159.22 × 17,078.78
  4. Step 4: Simplify right side
    29,825.58x = 702,949,263.35
  5. Step 5: Solve for x
    x = 702,949,263.35/29,825.58
  6. Step 6: Final answer
    x = 23,568.67

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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.