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Finding the Fourth Proportional to 54,928.38, 75,800.37 and 31,054.26

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Solution

The fourth proportional to 54,928.38, 75,800.37 and 31,054.26 is: 42,854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,928.38 : 75,800.37 = 31,054.26 : x
  2. Step 2: Convert to fraction form
    54,928.38/75,800.37 = 31,054.26/x
  3. Step 3: Cross multiply
    54,928.38x = 75,800.37 × 31,054.26
  4. Step 4: Simplify right side
    54,928.38x = 2,353,924,398.08
  5. Step 5: Solve for x
    x = 2,353,924,398.08/54,928.38
  6. Step 6: Final answer
    x = 42,854.43

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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.