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Finding the Fourth Proportional to 53,998.52, 74,517.23 and 31,341.40

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Solution

The fourth proportional to 53,998.52, 74,517.23 and 31,341.40 is: 43,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,998.52 : 74,517.23 = 31,341.40 : x
  2. Step 2: Convert to fraction form
    53,998.52/74,517.23 = 31,341.40/x
  3. Step 3: Cross multiply
    53,998.52x = 74,517.23 × 31,341.40
  4. Step 4: Simplify right side
    53,998.52x = 2,335,474,204.38
  5. Step 5: Solve for x
    x = 2,335,474,204.38/53,998.52
  6. Step 6: Final answer
    x = 43,250.71

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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.