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Finding the Fourth Proportional to 32,012.35, 44,176.86 and 17,865.16

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Solution

The fourth proportional to 32,012.35, 44,176.86 and 17,865.16 is: 24,653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012.35 : 44,176.86 = 17,865.16 : x
  2. Step 2: Convert to fraction form
    32,012.35/44,176.86 = 17,865.16/x
  3. Step 3: Cross multiply
    32,012.35x = 44,176.86 × 17,865.16
  4. Step 4: Simplify right side
    32,012.35x = 789,226,672.20
  5. Step 5: Solve for x
    x = 789,226,672.20/32,012.35
  6. Step 6: Final answer
    x = 24,653.82

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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.