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Finding the Fourth Proportional to 55,223.25, 82,834.88 and 13,670.25

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Solution

The fourth proportional to 55,223.25, 82,834.88 and 13,670.25 is: 20,505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,223.25 : 82,834.88 = 13,670.25 : x
  2. Step 2: Convert to fraction form
    55,223.25/82,834.88 = 13,670.25/x
  3. Step 3: Cross multiply
    55,223.25x = 82,834.88 × 13,670.25
  4. Step 4: Simplify right side
    55,223.25x = 1,132,373,449.97
  5. Step 5: Solve for x
    x = 1,132,373,449.97/55,223.25
  6. Step 6: Final answer
    x = 20,505.38

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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.