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Finding the Fourth Proportional to 29,785.70, 41,101.24 and 17,848.74

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Solution

The fourth proportional to 29,785.70, 41,101.24 and 17,848.74 is: 24,629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,785.70 : 41,101.24 = 17,848.74 : x
  2. Step 2: Convert to fraction form
    29,785.70/41,101.24 = 17,848.74/x
  3. Step 3: Cross multiply
    29,785.70x = 41,101.24 × 17,848.74
  4. Step 4: Simplify right side
    29,785.70x = 733,605,346.44
  5. Step 5: Solve for x
    x = 733,605,346.44/29,785.70
  6. Step 6: Final answer
    x = 24,629.45

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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.