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Finding the Fourth Proportional to 31,609.23, 43,617.02 and 17,461.23

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Solution

The fourth proportional to 31,609.23, 43,617.02 and 17,461.23 is: 24,094.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,609.23 : 43,617.02 = 17,461.23 : x
  2. Step 2: Convert to fraction form
    31,609.23/43,617.02 = 17,461.23/x
  3. Step 3: Cross multiply
    31,609.23x = 43,617.02 × 17,461.23
  4. Step 4: Simplify right side
    31,609.23x = 761,606,730.83
  5. Step 5: Solve for x
    x = 761,606,730.83/31,609.23
  6. Step 6: Final answer
    x = 24,094.44

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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.