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Finding the Fourth Proportional to 32,141.39, 44,377.02 and 20,046.57

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Solution

The fourth proportional to 32,141.39, 44,377.02 and 20,046.57 is: 27,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,141.39 : 44,377.02 = 20,046.57 : x
  2. Step 2: Convert to fraction form
    32,141.39/44,377.02 = 20,046.57/x
  3. Step 3: Cross multiply
    32,141.39x = 44,377.02 × 20,046.57
  4. Step 4: Simplify right side
    32,141.39x = 889,607,037.82
  5. Step 5: Solve for x
    x = 889,607,037.82/32,141.39
  6. Step 6: Final answer
    x = 27,677.93

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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.