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Finding the Fourth Proportional to 39,830.30, 54,959.38 and 22,831.42

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Solution

The fourth proportional to 39,830.30, 54,959.38 and 22,831.42 is: 31,503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,830.30 : 54,959.38 = 22,831.42 : x
  2. Step 2: Convert to fraction form
    39,830.30/54,959.38 = 22,831.42/x
  3. Step 3: Cross multiply
    39,830.30x = 54,959.38 × 22,831.42
  4. Step 4: Simplify right side
    39,830.30x = 1,254,800,493.24
  5. Step 5: Solve for x
    x = 1,254,800,493.24/39,830.30
  6. Step 6: Final answer
    x = 31,503.66

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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.