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Finding the Fourth Proportional to 55,476.54, 76,571.87 and 34,243.61

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Solution

The fourth proportional to 55,476.54, 76,571.87 and 34,243.61 is: 47,264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,476.54 : 76,571.87 = 34,243.61 : x
  2. Step 2: Convert to fraction form
    55,476.54/76,571.87 = 34,243.61/x
  3. Step 3: Cross multiply
    55,476.54x = 76,571.87 × 34,243.61
  4. Step 4: Simplify right side
    55,476.54x = 2,622,096,699.17
  5. Step 5: Solve for x
    x = 2,622,096,699.17/55,476.54
  6. Step 6: Final answer
    x = 47,264.96

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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.