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Finding the Fourth Proportional to 31,798.90, 43,856.13 and 23,858.74

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Solution

The fourth proportional to 31,798.90, 43,856.13 and 23,858.74 is: 32,905.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,798.90 : 43,856.13 = 23,858.74 : x
  2. Step 2: Convert to fraction form
    31,798.90/43,856.13 = 23,858.74/x
  3. Step 3: Cross multiply
    31,798.90x = 43,856.13 × 23,858.74
  4. Step 4: Simplify right side
    31,798.90x = 1,046,352,003.08
  5. Step 5: Solve for x
    x = 1,046,352,003.08/31,798.90
  6. Step 6: Final answer
    x = 32,905.29

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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.