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Finding the Fourth Proportional to 107,940.88, 161,813.31 and 37,781.92

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Solution

The fourth proportional to 107,940.88, 161,813.31 and 37,781.92 is: 56,638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,940.88 : 161,813.31 = 37,781.92 : x
  2. Step 2: Convert to fraction form
    107,940.88/161,813.31 = 37,781.92/x
  3. Step 3: Cross multiply
    107,940.88x = 161,813.31 × 37,781.92
  4. Step 4: Simplify right side
    107,940.88x = 6,113,617,533.36
  5. Step 5: Solve for x
    x = 6,113,617,533.36/107,940.88
  6. Step 6: Final answer
    x = 56,638.57

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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.