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Finding the Fourth Proportional to 68,954.94, 103,348.80 and 31,463.64

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Solution

The fourth proportional to 68,954.94, 103,348.80 and 31,463.64 is: 47,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,954.94 : 103,348.80 = 31,463.64 : x
  2. Step 2: Convert to fraction form
    68,954.94/103,348.80 = 31,463.64/x
  3. Step 3: Cross multiply
    68,954.94x = 103,348.80 × 31,463.64
  4. Step 4: Simplify right side
    68,954.94x = 3,251,729,437.63
  5. Step 5: Solve for x
    x = 3,251,729,437.63/68,954.94
  6. Step 6: Final answer
    x = 47,157.31

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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.