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Finding the Fourth Proportional to 41,902.86, 57,825.10 and 22,783.01

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Solution

The fourth proportional to 41,902.86, 57,825.10 and 22,783.01 is: 31,440.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,902.86 : 57,825.10 = 22,783.01 : x
  2. Step 2: Convert to fraction form
    41,902.86/57,825.10 = 22,783.01/x
  3. Step 3: Cross multiply
    41,902.86x = 57,825.10 × 22,783.01
  4. Step 4: Simplify right side
    41,902.86x = 1,317,429,831.55
  5. Step 5: Solve for x
    x = 1,317,429,831.55/41,902.86
  6. Step 6: Final answer
    x = 31,440.09

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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.