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Finding the Fourth Proportional to 59,708.30, 82,395.38 and 32,850.53

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Solution

The fourth proportional to 59,708.30, 82,395.38 and 32,850.53 is: 45,332.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,708.30 : 82,395.38 = 32,850.53 : x
  2. Step 2: Convert to fraction form
    59,708.30/82,395.38 = 32,850.53/x
  3. Step 3: Cross multiply
    59,708.30x = 82,395.38 × 32,850.53
  4. Step 4: Simplify right side
    59,708.30x = 2,706,731,738.30
  5. Step 5: Solve for x
    x = 2,706,731,738.30/59,708.30
  6. Step 6: Final answer
    x = 45,332.59

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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.