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Finding the Fourth Proportional to 55,765.84, 76,957.14 and 31,893.52

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Solution

The fourth proportional to 55,765.84, 76,957.14 and 31,893.52 is: 44,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,765.84 : 76,957.14 = 31,893.52 : x
  2. Step 2: Convert to fraction form
    55,765.84/76,957.14 = 31,893.52/x
  3. Step 3: Cross multiply
    55,765.84x = 76,957.14 × 31,893.52
  4. Step 4: Simplify right side
    55,765.84x = 2,454,434,083.73
  5. Step 5: Solve for x
    x = 2,454,434,083.73/55,765.84
  6. Step 6: Final answer
    x = 44,013.22

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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.