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Finding the Fourth Proportional to 55,274.54, 82,911.47 and 15,831.65

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Solution

The fourth proportional to 55,274.54, 82,911.47 and 15,831.65 is: 23,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,274.54 : 82,911.47 = 15,831.65 : x
  2. Step 2: Convert to fraction form
    55,274.54/82,911.47 = 15,831.65/x
  3. Step 3: Cross multiply
    55,274.54x = 82,911.47 × 15,831.65
  4. Step 4: Simplify right side
    55,274.54x = 1,312,624,880.31
  5. Step 5: Solve for x
    x = 1,312,624,880.31/55,274.54
  6. Step 6: Final answer
    x = 23,747.37

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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.