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Finding the Fourth Proportional to 59,643.92, 82,302 and 35,771.60

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Solution

The fourth proportional to 59,643.92, 82,302 and 35,771.60 is: 49,360.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,643.92 : 82,302 = 35,771.60 : x
  2. Step 2: Convert to fraction form
    59,643.92/82,302 = 35,771.60/x
  3. Step 3: Cross multiply
    59,643.92x = 82,302 × 35,771.60
  4. Step 4: Simplify right side
    59,643.92x = 2,944,074,223.20
  5. Step 5: Solve for x
    x = 2,944,074,223.20/59,643.92
  6. Step 6: Final answer
    x = 49,360.84

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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.