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Finding the Fourth Proportional to 32,418.54, 48,640.77 and 11,643.66

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Solution

The fourth proportional to 32,418.54, 48,640.77 and 11,643.66 is: 17,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,418.54 : 48,640.77 = 11,643.66 : x
  2. Step 2: Convert to fraction form
    32,418.54/48,640.77 = 11,643.66/x
  3. Step 3: Cross multiply
    32,418.54x = 48,640.77 × 11,643.66
  4. Step 4: Simplify right side
    32,418.54x = 566,356,588.02
  5. Step 5: Solve for x
    x = 566,356,588.02/32,418.54
  6. Step 6: Final answer
    x = 17,470.14

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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.