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Finding the Fourth Proportional to 105,636.38, 145,781.75 and 57,889.31

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Solution

The fourth proportional to 105,636.38, 145,781.75 and 57,889.31 is: 79,889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,636.38 : 145,781.75 = 57,889.31 : x
  2. Step 2: Convert to fraction form
    105,636.38/145,781.75 = 57,889.31/x
  3. Step 3: Cross multiply
    105,636.38x = 145,781.75 × 57,889.31
  4. Step 4: Simplify right side
    105,636.38x = 8,439,204,918.09
  5. Step 5: Solve for x
    x = 8,439,204,918.09/105,636.38
  6. Step 6: Final answer
    x = 79,889.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.