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Finding the Fourth Proportional to 31,702.79, 47,563.44 and 14,168.52

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Solution

The fourth proportional to 31,702.79, 47,563.44 and 14,168.52 is: 21,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,702.79 : 47,563.44 = 14,168.52 : x
  2. Step 2: Convert to fraction form
    31,702.79/47,563.44 = 14,168.52/x
  3. Step 3: Cross multiply
    31,702.79x = 47,563.44 × 14,168.52
  4. Step 4: Simplify right side
    31,702.79x = 673,903,399.11
  5. Step 5: Solve for x
    x = 673,903,399.11/31,702.79
  6. Step 6: Final answer
    x = 21,256.91

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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.