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Finding the Fourth Proportional to 70,971.15, 97,938 and 40,757.75

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Solution

The fourth proportional to 70,971.15, 97,938 and 40,757.75 is: 56,244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,971.15 : 97,938 = 40,757.75 : x
  2. Step 2: Convert to fraction form
    70,971.15/97,938 = 40,757.75/x
  3. Step 3: Cross multiply
    70,971.15x = 97,938 × 40,757.75
  4. Step 4: Simplify right side
    70,971.15x = 3,991,732,029.81
  5. Step 5: Solve for x
    x = 3,991,732,029.81/70,971.15
  6. Step 6: Final answer
    x = 56,244.43

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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.