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Finding the Fourth Proportional to 59,057.81, 81,433.57 and 48,269.20

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Solution

The fourth proportional to 59,057.81, 81,433.57 and 48,269.20 is: 66,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,057.81 : 81,433.57 = 48,269.20 : x
  2. Step 2: Convert to fraction form
    59,057.81/81,433.57 = 48,269.20/x
  3. Step 3: Cross multiply
    59,057.81x = 81,433.57 × 48,269.20
  4. Step 4: Simplify right side
    59,057.81x = 3,930,733,359.95
  5. Step 5: Solve for x
    x = 3,930,733,359.95/59,057.81
  6. Step 6: Final answer
    x = 66,557.38

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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.