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Finding the Fourth Proportional to 62,470.31, 86,211.06 and 34,176

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Solution

The fourth proportional to 62,470.31, 86,211.06 and 34,176 is: 47,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,470.31 : 86,211.06 = 34,176 : x
  2. Step 2: Convert to fraction form
    62,470.31/86,211.06 = 34,176/x
  3. Step 3: Cross multiply
    62,470.31x = 86,211.06 × 34,176
  4. Step 4: Simplify right side
    62,470.31x = 2,946,349,186.56
  5. Step 5: Solve for x
    x = 2,946,349,186.56/62,470.31
  6. Step 6: Final answer
    x = 47,163.99

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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.