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Finding the Fourth Proportional to 32,014.87, 47,997.44 and 20,746.41

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Solution

The fourth proportional to 32,014.87, 47,997.44 and 20,746.41 is: 31,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014.87 : 47,997.44 = 20,746.41 : x
  2. Step 2: Convert to fraction form
    32,014.87/47,997.44 = 20,746.41/x
  3. Step 3: Cross multiply
    32,014.87x = 47,997.44 × 20,746.41
  4. Step 4: Simplify right side
    32,014.87x = 995,774,569.19
  5. Step 5: Solve for x
    x = 995,774,569.19/32,014.87
  6. Step 6: Final answer
    x = 31,103.50

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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.