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Finding the Fourth Proportional to 62,824.64, 86,696.96 and 34,529.76

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Solution

The fourth proportional to 62,824.64, 86,696.96 and 34,529.76 is: 47,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,824.64 : 86,696.96 = 34,529.76 : x
  2. Step 2: Convert to fraction form
    62,824.64/86,696.96 = 34,529.76/x
  3. Step 3: Cross multiply
    62,824.64x = 86,696.96 × 34,529.76
  4. Step 4: Simplify right side
    62,824.64x = 2,993,625,221.53
  5. Step 5: Solve for x
    x = 2,993,625,221.53/62,824.64
  6. Step 6: Final answer
    x = 47,650.50

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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.