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Finding the Fourth Proportional to 114,546.57, 171,778.67 and 39,646.41

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Solution

The fourth proportional to 114,546.57, 171,778.67 and 39,646.41 is: 59,455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,546.57 : 171,778.67 = 39,646.41 : x
  2. Step 2: Convert to fraction form
    114,546.57/171,778.67 = 39,646.41/x
  3. Step 3: Cross multiply
    114,546.57x = 171,778.67 × 39,646.41
  4. Step 4: Simplify right side
    114,546.57x = 6,810,407,580.07
  5. Step 5: Solve for x
    x = 6,810,407,580.07/114,546.57
  6. Step 6: Final answer
    x = 59,455.36

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