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Finding the Fourth Proportional to 62,378.40, 86,081.16 and 34,083.48

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Solution

The fourth proportional to 62,378.40, 86,081.16 and 34,083.48 is: 47,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,378.40 : 86,081.16 = 34,083.48 : x
  2. Step 2: Convert to fraction form
    62,378.40/86,081.16 = 34,083.48/x
  3. Step 3: Cross multiply
    62,378.40x = 86,081.16 × 34,083.48
  4. Step 4: Simplify right side
    62,378.40x = 2,933,945,495.24
  5. Step 5: Solve for x
    x = 2,933,945,495.24/62,378.40
  6. Step 6: Final answer
    x = 47,034.64

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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.