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Finding the Fourth Proportional to 65,009.56, 97,514.34 and 22,879.72

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Solution

The fourth proportional to 65,009.56, 97,514.34 and 22,879.72 is: 34,319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009.56 : 97,514.34 = 22,879.72 : x
  2. Step 2: Convert to fraction form
    65,009.56/97,514.34 = 22,879.72/x
  3. Step 3: Cross multiply
    65,009.56x = 97,514.34 × 22,879.72
  4. Step 4: Simplify right side
    65,009.56x = 2,231,100,795.18
  5. Step 5: Solve for x
    x = 2,231,100,795.18/65,009.56
  6. Step 6: Final answer
    x = 34,319.58

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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.