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Finding the Fourth Proportional to 54,800.63, 75,619.10 and 31,825.97

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Solution

The fourth proportional to 54,800.63, 75,619.10 and 31,825.97 is: 43,916.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,800.63 : 75,619.10 = 31,825.97 : x
  2. Step 2: Convert to fraction form
    54,800.63/75,619.10 = 31,825.97/x
  3. Step 3: Cross multiply
    54,800.63x = 75,619.10 × 31,825.97
  4. Step 4: Simplify right side
    54,800.63x = 2,406,651,208.03
  5. Step 5: Solve for x
    x = 2,406,651,208.03/54,800.63
  6. Step 6: Final answer
    x = 43,916.49

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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.