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Finding the Fourth Proportional to 59,643.40, 82,311.06 and 35,771.08

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Solution

The fourth proportional to 59,643.40, 82,311.06 and 35,771.08 is: 49,365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,643.40 : 82,311.06 = 35,771.08 : x
  2. Step 2: Convert to fraction form
    59,643.40/82,311.06 = 35,771.08/x
  3. Step 3: Cross multiply
    59,643.40x = 82,311.06 × 35,771.08
  4. Step 4: Simplify right side
    59,643.40x = 2,944,355,512.14
  5. Step 5: Solve for x
    x = 2,944,355,512.14/59,643.40
  6. Step 6: Final answer
    x = 49,365.99

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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.