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Finding the Fourth Proportional to 31,232.70, 46,853.10 and 15,445.80

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Solution

The fourth proportional to 31,232.70, 46,853.10 and 15,445.80 is: 23,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,232.70 : 46,853.10 = 15,445.80 : x
  2. Step 2: Convert to fraction form
    31,232.70/46,853.10 = 15,445.80/x
  3. Step 3: Cross multiply
    31,232.70x = 46,853.10 × 15,445.80
  4. Step 4: Simplify right side
    31,232.70x = 723,683,611.98
  5. Step 5: Solve for x
    x = 723,683,611.98/31,232.70
  6. Step 6: Final answer
    x = 23,170.70

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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.