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Finding the Fourth Proportional to 55,755.16, 83,489.87 and 30,767.47

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Solution

The fourth proportional to 55,755.16, 83,489.87 and 30,767.47 is: 46,072.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,755.16 : 83,489.87 = 30,767.47 : x
  2. Step 2: Convert to fraction form
    55,755.16/83,489.87 = 30,767.47/x
  3. Step 3: Cross multiply
    55,755.16x = 83,489.87 × 30,767.47
  4. Step 4: Simplify right side
    55,755.16x = 2,568,771,938.72
  5. Step 5: Solve for x
    x = 2,568,771,938.72/55,755.16
  6. Step 6: Final answer
    x = 46,072.36

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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.