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Finding the Fourth Proportional to 33,831.60, 50,747.40 and 10,465.20

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Solution

The fourth proportional to 33,831.60, 50,747.40 and 10,465.20 is: 15,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,831.60 : 50,747.40 = 10,465.20 : x
  2. Step 2: Convert to fraction form
    33,831.60/50,747.40 = 10,465.20/x
  3. Step 3: Cross multiply
    33,831.60x = 50,747.40 × 10,465.20
  4. Step 4: Simplify right side
    33,831.60x = 531,081,690.48
  5. Step 5: Solve for x
    x = 531,081,690.48/33,831.60
  6. Step 6: Final answer
    x = 15,697.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.