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Finding the Fourth Proportional to 70,401.82, 97,157.19 and 40,192.06

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Solution

The fourth proportional to 70,401.82, 97,157.19 and 40,192.06 is: 55,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,401.82 : 97,157.19 = 40,192.06 : x
  2. Step 2: Convert to fraction form
    70,401.82/97,157.19 = 40,192.06/x
  3. Step 3: Cross multiply
    70,401.82x = 97,157.19 × 40,192.06
  4. Step 4: Simplify right side
    70,401.82x = 3,904,947,609.91
  5. Step 5: Solve for x
    x = 3,904,947,609.91/70,401.82
  6. Step 6: Final answer
    x = 55,466.57

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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.