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Finding the Fourth Proportional to 51,894.39, 77,852.52 and 16,831.32

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Solution

The fourth proportional to 51,894.39, 77,852.52 and 16,831.32 is: 25,250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,894.39 : 77,852.52 = 16,831.32 : x
  2. Step 2: Convert to fraction form
    51,894.39/77,852.52 = 16,831.32/x
  3. Step 3: Cross multiply
    51,894.39x = 77,852.52 × 16,831.32
  4. Step 4: Simplify right side
    51,894.39x = 1,310,360,676.93
  5. Step 5: Solve for x
    x = 1,310,360,676.93/51,894.39
  6. Step 6: Final answer
    x = 25,250.53

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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.