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Finding the Fourth Proportional to 65,229.32, 97,828.32 and 30,135.26

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Solution

The fourth proportional to 65,229.32, 97,828.32 and 30,135.26 is: 45,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,229.32 : 97,828.32 = 30,135.26 : x
  2. Step 2: Convert to fraction form
    65,229.32/97,828.32 = 30,135.26/x
  3. Step 3: Cross multiply
    65,229.32x = 97,828.32 × 30,135.26
  4. Step 4: Simplify right side
    65,229.32x = 2,948,081,858.56
  5. Step 5: Solve for x
    x = 2,948,081,858.56/65,229.32
  6. Step 6: Final answer
    x = 45,195.66

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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.