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Finding the Fourth Proportional to 71,831.36, 107,764.44 and 24,446

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Solution

The fourth proportional to 71,831.36, 107,764.44 and 24,446 is: 36,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,831.36 : 107,764.44 = 24,446 : x
  2. Step 2: Convert to fraction form
    71,831.36/107,764.44 = 24,446/x
  3. Step 3: Cross multiply
    71,831.36x = 107,764.44 × 24,446
  4. Step 4: Simplify right side
    71,831.36x = 2,634,409,500.24
  5. Step 5: Solve for x
    x = 2,634,409,500.24/71,831.36
  6. Step 6: Final answer
    x = 36,674.92

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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.