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Finding the Fourth Proportional to 32,175.46, 48,196.77 and 23,864.86

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Solution

The fourth proportional to 32,175.46, 48,196.77 and 23,864.86 is: 35,748.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,175.46 : 48,196.77 = 23,864.86 : x
  2. Step 2: Convert to fraction form
    32,175.46/48,196.77 = 23,864.86/x
  3. Step 3: Cross multiply
    32,175.46x = 48,196.77 × 23,864.86
  4. Step 4: Simplify right side
    32,175.46x = 1,150,209,168.50
  5. Step 5: Solve for x
    x = 1,150,209,168.50/32,175.46
  6. Step 6: Final answer
    x = 35,748.03

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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.