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Finding the Fourth Proportional to 55,836.56, 77,059.56 and 31,970.96

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Solution

The fourth proportional to 55,836.56, 77,059.56 and 31,970.96 is: 44,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,836.56 : 77,059.56 = 31,970.96 : x
  2. Step 2: Convert to fraction form
    55,836.56/77,059.56 = 31,970.96/x
  3. Step 3: Cross multiply
    55,836.56x = 77,059.56 × 31,970.96
  4. Step 4: Simplify right side
    55,836.56x = 2,463,668,110.38
  5. Step 5: Solve for x
    x = 2,463,668,110.38/55,836.56
  6. Step 6: Final answer
    x = 44,122.85

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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.