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Finding the Fourth Proportional to 68,951.94, 103,344.30 and 31,460.64

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Solution

The fourth proportional to 68,951.94, 103,344.30 and 31,460.64 is: 47,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,951.94 : 103,344.30 = 31,460.64 : x
  2. Step 2: Convert to fraction form
    68,951.94/103,344.30 = 31,460.64/x
  3. Step 3: Cross multiply
    68,951.94x = 103,344.30 × 31,460.64
  4. Step 4: Simplify right side
    68,951.94x = 3,251,277,818.35
  5. Step 5: Solve for x
    x = 3,251,277,818.35/68,951.94
  6. Step 6: Final answer
    x = 47,152.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.