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Finding the Fourth Proportional to 31,782.56, 43,868.00 and 21,715.07

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Solution

The fourth proportional to 31,782.56, 43,868.00 and 21,715.07 is: 29,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.56 : 43,868.00 = 21,715.07 : x
  2. Step 2: Convert to fraction form
    31,782.56/43,868.00 = 21,715.07/x
  3. Step 3: Cross multiply
    31,782.56x = 43,868.00 × 21,715.07
  4. Step 4: Simplify right side
    31,782.56x = 952,596,582.18
  5. Step 5: Solve for x
    x = 952,596,582.18/31,782.56
  6. Step 6: Final answer
    x = 29,972.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.