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Finding the Fourth Proportional to 59,824.31, 82,558.44 and 34,334.82

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Solution

The fourth proportional to 59,824.31, 82,558.44 and 34,334.82 is: 47,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,824.31 : 82,558.44 = 34,334.82 : x
  2. Step 2: Convert to fraction form
    59,824.31/82,558.44 = 34,334.82/x
  3. Step 3: Cross multiply
    59,824.31x = 82,558.44 × 34,334.82
  4. Step 4: Simplify right side
    59,824.31x = 2,834,629,176.88
  5. Step 5: Solve for x
    x = 2,834,629,176.88/59,824.31
  6. Step 6: Final answer
    x = 47,382.57

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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.