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Finding the Fourth Proportional to 110,052.54, 165,052.35 and 50,831.28

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Solution

The fourth proportional to 110,052.54, 165,052.35 and 50,831.28 is: 76,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,052.54 : 165,052.35 = 50,831.28 : x
  2. Step 2: Convert to fraction form
    110,052.54/165,052.35 = 50,831.28/x
  3. Step 3: Cross multiply
    110,052.54x = 165,052.35 × 50,831.28
  4. Step 4: Simplify right side
    110,052.54x = 8,389,822,217.51
  5. Step 5: Solve for x
    x = 8,389,822,217.51/110,052.54
  6. Step 6: Final answer
    x = 76,234.70

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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.