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Finding the Fourth Proportional to 117,147.80, 175,728.51 and 32,914.53

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Solution

The fourth proportional to 117,147.80, 175,728.51 and 32,914.53 is: 49,373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,147.80 : 175,728.51 = 32,914.53 : x
  2. Step 2: Convert to fraction form
    117,147.80/175,728.51 = 32,914.53/x
  3. Step 3: Cross multiply
    117,147.80x = 175,728.51 × 32,914.53
  4. Step 4: Simplify right side
    117,147.80x = 5,784,021,314.25
  5. Step 5: Solve for x
    x = 5,784,021,314.25/117,147.80
  6. Step 6: Final answer
    x = 49,373.71

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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.