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Finding the Fourth Proportional to 62,594.16, 86,382 and 34,299.84

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Solution

The fourth proportional to 62,594.16, 86,382 and 34,299.84 is: 47,334.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,594.16 : 86,382 = 34,299.84 : x
  2. Step 2: Convert to fraction form
    62,594.16/86,382 = 34,299.84/x
  3. Step 3: Cross multiply
    62,594.16x = 86,382 × 34,299.84
  4. Step 4: Simplify right side
    62,594.16x = 2,962,888,778.88
  5. Step 5: Solve for x
    x = 2,962,888,778.88/62,594.16
  6. Step 6: Final answer
    x = 47,334.91

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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.