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Finding the Fourth Proportional to 57,525.34, 86,406.09 and 37,831.90

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Solution

The fourth proportional to 57,525.34, 86,406.09 and 37,831.90 is: 56,825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,525.34 : 86,406.09 = 37,831.90 : x
  2. Step 2: Convert to fraction form
    57,525.34/86,406.09 = 37,831.90/x
  3. Step 3: Cross multiply
    57,525.34x = 86,406.09 × 37,831.90
  4. Step 4: Simplify right side
    57,525.34x = 3,268,906,556.27
  5. Step 5: Solve for x
    x = 3,268,906,556.27/57,525.34
  6. Step 6: Final answer
    x = 56,825.51

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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.