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Finding the Fourth Proportional to 57,953.80, 86,935.92 and 20,509.84

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Solution

The fourth proportional to 57,953.80, 86,935.92 and 20,509.84 is: 30,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,953.80 : 86,935.92 = 20,509.84 : x
  2. Step 2: Convert to fraction form
    57,953.80/86,935.92 = 20,509.84/x
  3. Step 3: Cross multiply
    57,953.80x = 86,935.92 × 20,509.84
  4. Step 4: Simplify right side
    57,953.80x = 1,783,041,809.45
  5. Step 5: Solve for x
    x = 1,783,041,809.45/57,953.80
  6. Step 6: Final answer
    x = 30,766.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.