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Finding the Fourth Proportional to 70,971.46, 97,940.58 and 39,140.38

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Solution

The fourth proportional to 70,971.46, 97,940.58 and 39,140.38 is: 54,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,971.46 : 97,940.58 = 39,140.38 : x
  2. Step 2: Convert to fraction form
    70,971.46/97,940.58 = 39,140.38/x
  3. Step 3: Cross multiply
    70,971.46x = 97,940.58 × 39,140.38
  4. Step 4: Simplify right side
    70,971.46x = 3,833,431,494.27
  5. Step 5: Solve for x
    x = 3,833,431,494.27/70,971.46
  6. Step 6: Final answer
    x = 54,013.71

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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.