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Finding the Fourth Proportional to 35,167.57, 48,523.74 and 20,831.93

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Solution

The fourth proportional to 35,167.57, 48,523.74 and 20,831.93 is: 28,743.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,167.57 : 48,523.74 = 20,831.93 : x
  2. Step 2: Convert to fraction form
    35,167.57/48,523.74 = 20,831.93/x
  3. Step 3: Cross multiply
    35,167.57x = 48,523.74 × 20,831.93
  4. Step 4: Simplify right side
    35,167.57x = 1,010,843,016.24
  5. Step 5: Solve for x
    x = 1,010,843,016.24/35,167.57
  6. Step 6: Final answer
    x = 28,743.61

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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.