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Finding the Fourth Proportional to 56,161.54, 77,516.22 and 32,302

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Solution

The fourth proportional to 56,161.54, 77,516.22 and 32,302 is: 44,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,161.54 : 77,516.22 = 32,302 : x
  2. Step 2: Convert to fraction form
    56,161.54/77,516.22 = 32,302/x
  3. Step 3: Cross multiply
    56,161.54x = 77,516.22 × 32,302
  4. Step 4: Simplify right side
    56,161.54x = 2,503,928,938.44
  5. Step 5: Solve for x
    x = 2,503,928,938.44/56,161.54
  6. Step 6: Final answer
    x = 44,584.41

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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.