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Finding the Fourth Proportional to 31,307.78, 43,205.58 and 17,161.16

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Solution

The fourth proportional to 31,307.78, 43,205.58 and 17,161.16 is: 23,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,307.78 : 43,205.58 = 17,161.16 : x
  2. Step 2: Convert to fraction form
    31,307.78/43,205.58 = 17,161.16/x
  3. Step 3: Cross multiply
    31,307.78x = 43,205.58 × 17,161.16
  4. Step 4: Simplify right side
    31,307.78x = 741,457,871.27
  5. Step 5: Solve for x
    x = 741,457,871.27/31,307.78
  6. Step 6: Final answer
    x = 23,682.86

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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.