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Finding the Fourth Proportional to 31,893.75, 47,862.50 and 11,117.25

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Solution

The fourth proportional to 31,893.75, 47,862.50 and 11,117.25 is: 16,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,893.75 : 47,862.50 = 11,117.25 : x
  2. Step 2: Convert to fraction form
    31,893.75/47,862.50 = 11,117.25/x
  3. Step 3: Cross multiply
    31,893.75x = 47,862.50 × 11,117.25
  4. Step 4: Simplify right side
    31,893.75x = 532,099,322.54
  5. Step 5: Solve for x
    x = 532,099,322.54/31,893.75
  6. Step 6: Final answer
    x = 16,683.50

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Why These Related Problems?

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