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Finding the Fourth Proportional to 43,174.22, 64,742.82 and 15,085.86

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Solution

The fourth proportional to 43,174.22, 64,742.82 and 15,085.86 is: 22,622.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,174.22 : 64,742.82 = 15,085.86 : x
  2. Step 2: Convert to fraction form
    43,174.22/64,742.82 = 15,085.86/x
  3. Step 3: Cross multiply
    43,174.22x = 64,742.82 × 15,085.86
  4. Step 4: Simplify right side
    43,174.22x = 976,701,118.53
  5. Step 5: Solve for x
    x = 976,701,118.53/43,174.22
  6. Step 6: Final answer
    x = 22,622.32

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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.