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Finding the Fourth Proportional to 31,442.77, 43,391.60 and 17,102.89

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Solution

The fourth proportional to 31,442.77, 43,391.60 and 17,102.89 is: 23,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,442.77 : 43,391.60 = 17,102.89 : x
  2. Step 2: Convert to fraction form
    31,442.77/43,391.60 = 17,102.89/x
  3. Step 3: Cross multiply
    31,442.77x = 43,391.60 × 17,102.89
  4. Step 4: Simplify right side
    31,442.77x = 742,121,761.72
  5. Step 5: Solve for x
    x = 742,121,761.72/31,442.77
  6. Step 6: Final answer
    x = 23,602.30

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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.