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Finding the Fourth Proportional to 31,291.62, 46,937.00 and 7,599.33

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Solution

The fourth proportional to 31,291.62, 46,937.00 and 7,599.33 is: 11,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,291.62 : 46,937.00 = 7,599.33 : x
  2. Step 2: Convert to fraction form
    31,291.62/46,937.00 = 7,599.33/x
  3. Step 3: Cross multiply
    31,291.62x = 46,937.00 × 7,599.33
  4. Step 4: Simplify right side
    31,291.62x = 356,689,714.21
  5. Step 5: Solve for x
    x = 356,689,714.21/31,291.62
  6. Step 6: Final answer
    x = 11,398.89

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