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Finding the Fourth Proportional to 32,108.83, 44,309.52 and 17,768.66

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Solution

The fourth proportional to 32,108.83, 44,309.52 and 17,768.66 is: 24,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,108.83 : 44,309.52 = 17,768.66 : x
  2. Step 2: Convert to fraction form
    32,108.83/44,309.52 = 17,768.66/x
  3. Step 3: Cross multiply
    32,108.83x = 44,309.52 × 17,768.66
  4. Step 4: Simplify right side
    32,108.83x = 787,320,574.10
  5. Step 5: Solve for x
    x = 787,320,574.10/32,108.83
  6. Step 6: Final answer
    x = 24,520.38

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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.