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Finding the Fourth Proportional to 31,719.72, 43,702.71 and 20,945.40

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Solution

The fourth proportional to 31,719.72, 43,702.71 and 20,945.40 is: 28,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,719.72 : 43,702.71 = 20,945.40 : x
  2. Step 2: Convert to fraction form
    31,719.72/43,702.71 = 20,945.40/x
  3. Step 3: Cross multiply
    31,719.72x = 43,702.71 × 20,945.40
  4. Step 4: Simplify right side
    31,719.72x = 915,370,742.03
  5. Step 5: Solve for x
    x = 915,370,742.03/31,719.72
  6. Step 6: Final answer
    x = 28,858.10

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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.