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Finding the Fourth Proportional to 31,308.48, 43,205.76 and 17,161.20

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Solution

The fourth proportional to 31,308.48, 43,205.76 and 17,161.20 is: 23,682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,308.48 : 43,205.76 = 17,161.20 : x
  2. Step 2: Convert to fraction form
    31,308.48/43,205.76 = 17,161.20/x
  3. Step 3: Cross multiply
    31,308.48x = 43,205.76 × 17,161.20
  4. Step 4: Simplify right side
    31,308.48x = 741,462,688.51
  5. Step 5: Solve for x
    x = 741,462,688.51/31,308.48
  6. Step 6: Final answer
    x = 23,682.49

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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.