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Finding the Fourth Proportional to 116,642.81, 174,991.98 and 37,757.03

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Solution

The fourth proportional to 116,642.81, 174,991.98 and 37,757.03 is: 56,644.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,642.81 : 174,991.98 = 37,757.03 : x
  2. Step 2: Convert to fraction form
    116,642.81/174,991.98 = 37,757.03/x
  3. Step 3: Cross multiply
    116,642.81x = 174,991.98 × 37,757.03
  4. Step 4: Simplify right side
    116,642.81x = 6,607,177,438.62
  5. Step 5: Solve for x
    x = 6,607,177,438.62/116,642.81
  6. Step 6: Final answer
    x = 56,644.53

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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.