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Finding the Fourth Proportional to 32,608, 44,999.04 and 17,704

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Solution

The fourth proportional to 32,608, 44,999.04 and 17,704 is: 24,431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,608 : 44,999.04 = 17,704 : x
  2. Step 2: Convert to fraction form
    32,608/44,999.04 = 17,704/x
  3. Step 3: Cross multiply
    32,608x = 44,999.04 × 17,704
  4. Step 4: Simplify right side
    32,608x = 796,663,004.16
  5. Step 5: Solve for x
    x = 796,663,004.16/32,608
  6. Step 6: Final answer
    x = 24,431.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.