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Finding the Fourth Proportional to 31,291.62, 46,936.98 and 7,599.35

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Solution

The fourth proportional to 31,291.62, 46,936.98 and 7,599.35 is: 11,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,291.62 : 46,936.98 = 7,599.35 : x
  2. Step 2: Convert to fraction form
    31,291.62/46,936.98 = 7,599.35/x
  3. Step 3: Cross multiply
    31,291.62x = 46,936.98 × 7,599.35
  4. Step 4: Simplify right side
    31,291.62x = 356,690,304.28
  5. Step 5: Solve for x
    x = 356,690,304.28/31,291.62
  6. Step 6: Final answer
    x = 11,398.91

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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.