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Finding the Fourth Proportional to 32,108.04, 44,309.16 and 17,961.12

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Solution

The fourth proportional to 32,108.04, 44,309.16 and 17,961.12 is: 24,786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,108.04 : 44,309.16 = 17,961.12 : x
  2. Step 2: Convert to fraction form
    32,108.04/44,309.16 = 17,961.12/x
  3. Step 3: Cross multiply
    32,108.04x = 44,309.16 × 17,961.12
  4. Step 4: Simplify right side
    32,108.04x = 795,842,139.86
  5. Step 5: Solve for x
    x = 795,842,139.86/32,108.04
  6. Step 6: Final answer
    x = 24,786.38

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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.