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Finding the Fourth Proportional to 70,342.81, 97,082.32 and 40,121.20

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Solution

The fourth proportional to 70,342.81, 97,082.32 and 40,121.20 is: 55,372.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,342.81 : 97,082.32 = 40,121.20 : x
  2. Step 2: Convert to fraction form
    70,342.81/97,082.32 = 40,121.20/x
  3. Step 3: Cross multiply
    70,342.81x = 97,082.32 × 40,121.20
  4. Step 4: Simplify right side
    70,342.81x = 3,895,058,905.38
  5. Step 5: Solve for x
    x = 3,895,058,905.38/70,342.81
  6. Step 6: Final answer
    x = 55,372.53

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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.