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Finding the Fourth Proportional to 74,514.73, 102,831.02 and 40,523.54

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Solution

The fourth proportional to 74,514.73, 102,831.02 and 40,523.54 is: 55,922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,514.73 : 102,831.02 = 40,523.54 : x
  2. Step 2: Convert to fraction form
    74,514.73/102,831.02 = 40,523.54/x
  3. Step 3: Cross multiply
    74,514.73x = 102,831.02 × 40,523.54
  4. Step 4: Simplify right side
    74,514.73x = 4,167,076,952.21
  5. Step 5: Solve for x
    x = 4,167,076,952.21/74,514.73
  6. Step 6: Final answer
    x = 55,922.86

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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.