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Finding the Fourth Proportional to 50,493.41, 69,677.74 and 27,831.16

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Solution

The fourth proportional to 50,493.41, 69,677.74 and 27,831.16 is: 38,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,493.41 : 69,677.74 = 27,831.16 : x
  2. Step 2: Convert to fraction form
    50,493.41/69,677.74 = 27,831.16/x
  3. Step 3: Cross multiply
    50,493.41x = 69,677.74 × 27,831.16
  4. Step 4: Simplify right side
    50,493.41x = 1,939,212,086.61
  5. Step 5: Solve for x
    x = 1,939,212,086.61/50,493.41
  6. Step 6: Final answer
    x = 38,405.25

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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.