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Finding the Fourth Proportional to 54,935.88, 75,813.11 and 31,062.03

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Solution

The fourth proportional to 54,935.88, 75,813.11 and 31,062.03 is: 42,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,935.88 : 75,813.11 = 31,062.03 : x
  2. Step 2: Convert to fraction form
    54,935.88/75,813.11 = 31,062.03/x
  3. Step 3: Cross multiply
    54,935.88x = 75,813.11 × 31,062.03
  4. Step 4: Simplify right side
    54,935.88x = 2,354,909,097.21
  5. Step 5: Solve for x
    x = 2,354,909,097.21/54,935.88
  6. Step 6: Final answer
    x = 42,866.50

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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.