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Finding the Fourth Proportional to 31,533.60, 43,516.71 and 17,193.31

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Solution

The fourth proportional to 31,533.60, 43,516.71 and 17,193.31 is: 23,726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,533.60 : 43,516.71 = 17,193.31 : x
  2. Step 2: Convert to fraction form
    31,533.60/43,516.71 = 17,193.31/x
  3. Step 3: Cross multiply
    31,533.60x = 43,516.71 × 17,193.31
  4. Step 4: Simplify right side
    31,533.60x = 748,196,351.02
  5. Step 5: Solve for x
    x = 748,196,351.02/31,533.60
  6. Step 6: Final answer
    x = 23,726.96

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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.