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Finding the Fourth Proportional to 52,111.50, 71,919.35 and 31,963.77

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Solution

The fourth proportional to 52,111.50, 71,919.35 and 31,963.77 is: 44,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,111.50 : 71,919.35 = 31,963.77 : x
  2. Step 2: Convert to fraction form
    52,111.50/71,919.35 = 31,963.77/x
  3. Step 3: Cross multiply
    52,111.50x = 71,919.35 × 31,963.77
  4. Step 4: Simplify right side
    52,111.50x = 2,298,813,402.13
  5. Step 5: Solve for x
    x = 2,298,813,402.13/52,111.50
  6. Step 6: Final answer
    x = 44,113.36

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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.