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Finding the Fourth Proportional to 54,968.40, 75,857.76 and 31,093.92

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Solution

The fourth proportional to 54,968.40, 75,857.76 and 31,093.92 is: 42,910.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,968.40 : 75,857.76 = 31,093.92 : x
  2. Step 2: Convert to fraction form
    54,968.40/75,857.76 = 31,093.92/x
  3. Step 3: Cross multiply
    54,968.40x = 75,857.76 × 31,093.92
  4. Step 4: Simplify right side
    54,968.40x = 2,358,715,120.82
  5. Step 5: Solve for x
    x = 2,358,715,120.82/54,968.40
  6. Step 6: Final answer
    x = 42,910.38

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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.