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Finding the Fourth Proportional to 31,547.70, 43,538.90 and 23,576.09

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Solution

The fourth proportional to 31,547.70, 43,538.90 and 23,576.09 is: 32,537.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,547.70 : 43,538.90 = 23,576.09 : x
  2. Step 2: Convert to fraction form
    31,547.70/43,538.90 = 23,576.09/x
  3. Step 3: Cross multiply
    31,547.70x = 43,538.90 × 23,576.09
  4. Step 4: Simplify right side
    31,547.70x = 1,026,476,689.33
  5. Step 5: Solve for x
    x = 1,026,476,689.33/31,547.70
  6. Step 6: Final answer
    x = 32,537.29

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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.