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Finding the Fourth Proportional to 59,284.34, 81,765.15 and 50,361.38

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Solution

The fourth proportional to 59,284.34, 81,765.15 and 50,361.38 is: 69,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,284.34 : 81,765.15 = 50,361.38 : x
  2. Step 2: Convert to fraction form
    59,284.34/81,765.15 = 50,361.38/x
  3. Step 3: Cross multiply
    59,284.34x = 81,765.15 × 50,361.38
  4. Step 4: Simplify right side
    59,284.34x = 4,117,805,789.91
  5. Step 5: Solve for x
    x = 4,117,805,789.91/59,284.34
  6. Step 6: Final answer
    x = 69,458.58

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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.