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Finding the Fourth Proportional to 55,602.54, 76,732.79 and 31,731.44

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Solution

The fourth proportional to 55,602.54, 76,732.79 and 31,731.44 is: 43,790.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,602.54 : 76,732.79 = 31,731.44 : x
  2. Step 2: Convert to fraction form
    55,602.54/76,732.79 = 31,731.44/x
  3. Step 3: Cross multiply
    55,602.54x = 76,732.79 × 31,731.44
  4. Step 4: Simplify right side
    55,602.54x = 2,434,841,379.60
  5. Step 5: Solve for x
    x = 2,434,841,379.60/55,602.54
  6. Step 6: Final answer
    x = 43,790.11

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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.