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Finding the Fourth Proportional to 107,689.82, 161,608.54 and 37,569.13

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Solution

The fourth proportional to 107,689.82, 161,608.54 and 37,569.13 is: 56,379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,689.82 : 161,608.54 = 37,569.13 : x
  2. Step 2: Convert to fraction form
    107,689.82/161,608.54 = 37,569.13/x
  3. Step 3: Cross multiply
    107,689.82x = 161,608.54 × 37,569.13
  4. Step 4: Simplify right side
    107,689.82x = 6,071,491,916.05
  5. Step 5: Solve for x
    x = 6,071,491,916.05/107,689.82
  6. Step 6: Final answer
    x = 56,379.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.