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Finding the Fourth Proportional to 31,216.87, 46,802.49 and 11,495.80

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Solution

The fourth proportional to 31,216.87, 46,802.49 and 11,495.80 is: 17,235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,216.87 : 46,802.49 = 11,495.80 : x
  2. Step 2: Convert to fraction form
    31,216.87/46,802.49 = 11,495.80/x
  3. Step 3: Cross multiply
    31,216.87x = 46,802.49 × 11,495.80
  4. Step 4: Simplify right side
    31,216.87x = 538,032,064.54
  5. Step 5: Solve for x
    x = 538,032,064.54/31,216.87
  6. Step 6: Final answer
    x = 17,235.30

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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.