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Finding the Fourth Proportional to 64,155, 96,207.84 and 22,027.24

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Solution

The fourth proportional to 64,155, 96,207.84 and 22,027.24 is: 33,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,155 : 96,207.84 = 22,027.24 : x
  2. Step 2: Convert to fraction form
    64,155/96,207.84 = 22,027.24/x
  3. Step 3: Cross multiply
    64,155x = 96,207.84 × 22,027.24
  4. Step 4: Simplify right side
    64,155x = 2,119,193,181.56
  5. Step 5: Solve for x
    x = 2,119,193,181.56/64,155
  6. Step 6: Final answer
    x = 33,032.39

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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.