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Finding the Fourth Proportional to 32,968, 49,455.03 and 10,781.49

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Solution

The fourth proportional to 32,968, 49,455.03 and 10,781.49 is: 16,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,968 : 49,455.03 = 10,781.49 : x
  2. Step 2: Convert to fraction form
    32,968/49,455.03 = 10,781.49/x
  3. Step 3: Cross multiply
    32,968x = 49,455.03 × 10,781.49
  4. Step 4: Simplify right side
    32,968x = 533,198,911.39
  5. Step 5: Solve for x
    x = 533,198,911.39/32,968
  6. Step 6: Final answer
    x = 16,173.23

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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.