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Finding the Fourth Proportional to 70,922.90, 97,846.16 and 40,697.30

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Solution

The fourth proportional to 70,922.90, 97,846.16 and 40,697.30 is: 56,146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,922.90 : 97,846.16 = 40,697.30 : x
  2. Step 2: Convert to fraction form
    70,922.90/97,846.16 = 40,697.30/x
  3. Step 3: Cross multiply
    70,922.90x = 97,846.16 × 40,697.30
  4. Step 4: Simplify right side
    70,922.90x = 3,982,074,527.37
  5. Step 5: Solve for x
    x = 3,982,074,527.37/70,922.90
  6. Step 6: Final answer
    x = 56,146.53

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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.