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Finding the Fourth Proportional to 32,314.38, 44,601.75 and 19,749.66

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Solution

The fourth proportional to 32,314.38, 44,601.75 and 19,749.66 is: 27,259.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,314.38 : 44,601.75 = 19,749.66 : x
  2. Step 2: Convert to fraction form
    32,314.38/44,601.75 = 19,749.66/x
  3. Step 3: Cross multiply
    32,314.38x = 44,601.75 × 19,749.66
  4. Step 4: Simplify right side
    32,314.38x = 880,869,397.91
  5. Step 5: Solve for x
    x = 880,869,397.91/32,314.38
  6. Step 6: Final answer
    x = 27,259.36

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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.