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Finding the Fourth Proportional to 52,197.54, 71,914.38 and 49,709.22

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Solution

The fourth proportional to 52,197.54, 71,914.38 and 49,709.22 is: 68,486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,197.54 : 71,914.38 = 49,709.22 : x
  2. Step 2: Convert to fraction form
    52,197.54/71,914.38 = 49,709.22/x
  3. Step 3: Cross multiply
    52,197.54x = 71,914.38 × 49,709.22
  4. Step 4: Simplify right side
    52,197.54x = 3,574,807,736.58
  5. Step 5: Solve for x
    x = 3,574,807,736.58/52,197.54
  6. Step 6: Final answer
    x = 68,486.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.