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Finding the Fourth Proportional to 34,971.38, 52,186.59 and 31,233.38

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Solution

The fourth proportional to 34,971.38, 52,186.59 and 31,233.38 is: 46,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,971.38 : 52,186.59 = 31,233.38 : x
  2. Step 2: Convert to fraction form
    34,971.38/52,186.59 = 31,233.38/x
  3. Step 3: Cross multiply
    34,971.38x = 52,186.59 × 31,233.38
  4. Step 4: Simplify right side
    34,971.38x = 1,629,963,440.21
  5. Step 5: Solve for x
    x = 1,629,963,440.21/34,971.38
  6. Step 6: Final answer
    x = 46,608.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.