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Finding the Fourth Proportional to 55,602.46, 76,736.88 and 31,732.70

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Solution

The fourth proportional to 55,602.46, 76,736.88 and 31,732.70 is: 43,794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,602.46 : 76,736.88 = 31,732.70 : x
  2. Step 2: Convert to fraction form
    55,602.46/76,736.88 = 31,732.70/x
  3. Step 3: Cross multiply
    55,602.46x = 76,736.88 × 31,732.70
  4. Step 4: Simplify right side
    55,602.46x = 2,435,068,583.82
  5. Step 5: Solve for x
    x = 2,435,068,583.82/55,602.46
  6. Step 6: Final answer
    x = 43,794.26

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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.