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Finding the Fourth Proportional to 40,503.96, 55,831.81 and 27,735.07

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Solution

The fourth proportional to 40,503.96, 55,831.81 and 27,735.07 is: 38,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,503.96 : 55,831.81 = 27,735.07 : x
  2. Step 2: Convert to fraction form
    40,503.96/55,831.81 = 27,735.07/x
  3. Step 3: Cross multiply
    40,503.96x = 55,831.81 × 27,735.07
  4. Step 4: Simplify right side
    40,503.96x = 1,548,498,871.32
  5. Step 5: Solve for x
    x = 1,548,498,871.32/40,503.96
  6. Step 6: Final answer
    x = 38,230.80

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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.