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Finding the Fourth Proportional to 103,046.52, 154,591.96 and 31,967.74

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Solution

The fourth proportional to 103,046.52, 154,591.96 and 31,967.74 is: 47,958.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,046.52 : 154,591.96 = 31,967.74 : x
  2. Step 2: Convert to fraction form
    103,046.52/154,591.96 = 31,967.74/x
  3. Step 3: Cross multiply
    103,046.52x = 154,591.96 × 31,967.74
  4. Step 4: Simplify right side
    103,046.52x = 4,941,955,583.37
  5. Step 5: Solve for x
    x = 4,941,955,583.37/103,046.52
  6. Step 6: Final answer
    x = 47,958.49

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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.