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Finding the Fourth Proportional to 31,262.58, 46,895.49 and 7,889.22

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Solution

The fourth proportional to 31,262.58, 46,895.49 and 7,889.22 is: 11,834.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,262.58 : 46,895.49 = 7,889.22 : x
  2. Step 2: Convert to fraction form
    31,262.58/46,895.49 = 7,889.22/x
  3. Step 3: Cross multiply
    31,262.58x = 46,895.49 × 7,889.22
  4. Step 4: Simplify right side
    31,262.58x = 369,968,837.62
  5. Step 5: Solve for x
    x = 369,968,837.62/31,262.58
  6. Step 6: Final answer
    x = 11,834.24

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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.