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Finding the Fourth Proportional to 97,920, 146,903.04 and 32,256

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Solution

The fourth proportional to 97,920, 146,903.04 and 32,256 is: 48,391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,920 : 146,903.04 = 32,256 : x
  2. Step 2: Convert to fraction form
    97,920/146,903.04 = 32,256/x
  3. Step 3: Cross multiply
    97,920x = 146,903.04 × 32,256
  4. Step 4: Simplify right side
    97,920x = 4,738,504,458.24
  5. Step 5: Solve for x
    x = 4,738,504,458.24/97,920
  6. Step 6: Final answer
    x = 48,391.59

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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.