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Finding the Fourth Proportional to 31,156.66, 46,496.54 and 27,832.42

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Solution

The fourth proportional to 31,156.66, 46,496.54 and 27,832.42 is: 41,535.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,156.66 : 46,496.54 = 27,832.42 : x
  2. Step 2: Convert to fraction form
    31,156.66/46,496.54 = 27,832.42/x
  3. Step 3: Cross multiply
    31,156.66x = 46,496.54 × 27,832.42
  4. Step 4: Simplify right side
    31,156.66x = 1,294,111,229.83
  5. Step 5: Solve for x
    x = 1,294,111,229.83/31,156.66
  6. Step 6: Final answer
    x = 41,535.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.