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Finding the Fourth Proportional to 97,814.90, 146,722.35 and 23,942.90

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Solution

The fourth proportional to 97,814.90, 146,722.35 and 23,942.90 is: 35,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,814.90 : 146,722.35 = 23,942.90 : x
  2. Step 2: Convert to fraction form
    97,814.90/146,722.35 = 23,942.90/x
  3. Step 3: Cross multiply
    97,814.90x = 146,722.35 × 23,942.90
  4. Step 4: Simplify right side
    97,814.90x = 3,512,958,553.82
  5. Step 5: Solve for x
    x = 3,512,958,553.82/97,814.90
  6. Step 6: Final answer
    x = 35,914.35

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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.