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Finding the Fourth Proportional to 57,740.99, 86,509.65 and 51,471.59

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Solution

The fourth proportional to 57,740.99, 86,509.65 and 51,471.59 is: 77,116.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,740.99 : 86,509.65 = 51,471.59 : x
  2. Step 2: Convert to fraction form
    57,740.99/86,509.65 = 51,471.59/x
  3. Step 3: Cross multiply
    57,740.99x = 86,509.65 × 51,471.59
  4. Step 4: Simplify right side
    57,740.99x = 4,452,789,235.84
  5. Step 5: Solve for x
    x = 4,452,789,235.84/57,740.99
  6. Step 6: Final answer
    x = 77,116.61

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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.