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Finding the Fourth Proportional to 32,198.24, 44,434.50 and 18,051.32

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Solution

The fourth proportional to 32,198.24, 44,434.50 and 18,051.32 is: 24,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,198.24 : 44,434.50 = 18,051.32 : x
  2. Step 2: Convert to fraction form
    32,198.24/44,434.50 = 18,051.32/x
  3. Step 3: Cross multiply
    32,198.24x = 44,434.50 × 18,051.32
  4. Step 4: Simplify right side
    32,198.24x = 802,101,378.54
  5. Step 5: Solve for x
    x = 802,101,378.54/32,198.24
  6. Step 6: Final answer
    x = 24,911.34

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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.