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Finding the Fourth Proportional to 31,702.36, 47,558.60 and 10,921

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Solution

The fourth proportional to 31,702.36, 47,558.60 and 10,921 is: 16,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,702.36 : 47,558.60 = 10,921 : x
  2. Step 2: Convert to fraction form
    31,702.36/47,558.60 = 10,921/x
  3. Step 3: Cross multiply
    31,702.36x = 47,558.60 × 10,921
  4. Step 4: Simplify right side
    31,702.36x = 519,387,470.60
  5. Step 5: Solve for x
    x = 519,387,470.60/31,702.36
  6. Step 6: Final answer
    x = 16,383.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.