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Finding the Fourth Proportional to 97,469.85, 146,222.99 and 30,892.11

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Solution

The fourth proportional to 97,469.85, 146,222.99 and 30,892.11 is: 46,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,469.85 : 146,222.99 = 30,892.11 : x
  2. Step 2: Convert to fraction form
    97,469.85/146,222.99 = 30,892.11/x
  3. Step 3: Cross multiply
    97,469.85x = 146,222.99 × 30,892.11
  4. Step 4: Simplify right side
    97,469.85x = 4,517,136,537.15
  5. Step 5: Solve for x
    x = 4,517,136,537.15/97,469.85
  6. Step 6: Final answer
    x = 46,343.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.