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Finding the Fourth Proportional to 56,638.27, 78,162.81 and 31,146.58

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Solution

The fourth proportional to 56,638.27, 78,162.81 and 31,146.58 is: 42,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,638.27 : 78,162.81 = 31,146.58 : x
  2. Step 2: Convert to fraction form
    56,638.27/78,162.81 = 31,146.58/x
  3. Step 3: Cross multiply
    56,638.27x = 78,162.81 × 31,146.58
  4. Step 4: Simplify right side
    56,638.27x = 2,434,504,214.69
  5. Step 5: Solve for x
    x = 2,434,504,214.69/56,638.27
  6. Step 6: Final answer
    x = 42,983.38

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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.