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Finding the Fourth Proportional to 32,102.76, 44,294.67 and 20,161.74

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Solution

The fourth proportional to 32,102.76, 44,294.67 and 20,161.74 is: 27,818.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.76 : 44,294.67 = 20,161.74 : x
  2. Step 2: Convert to fraction form
    32,102.76/44,294.67 = 20,161.74/x
  3. Step 3: Cross multiply
    32,102.76x = 44,294.67 × 20,161.74
  4. Step 4: Simplify right side
    32,102.76x = 893,057,619.93
  5. Step 5: Solve for x
    x = 893,057,619.93/32,102.76
  6. Step 6: Final answer
    x = 27,818.72

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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.