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Finding the Fourth Proportional to 32,701.87, 45,142.14 and 22,105.86

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Solution

The fourth proportional to 32,701.87, 45,142.14 and 22,105.86 is: 30,515.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,701.87 : 45,142.14 = 22,105.86 : x
  2. Step 2: Convert to fraction form
    32,701.87/45,142.14 = 22,105.86/x
  3. Step 3: Cross multiply
    32,701.87x = 45,142.14 × 22,105.86
  4. Step 4: Simplify right side
    32,701.87x = 997,905,826.94
  5. Step 5: Solve for x
    x = 997,905,826.94/32,701.87
  6. Step 6: Final answer
    x = 30,515.25

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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.