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Finding the Fourth Proportional to 64,157, 96,210.84 and 22,029.24

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Solution

The fourth proportional to 64,157, 96,210.84 and 22,029.24 is: 33,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,157 : 96,210.84 = 22,029.24 : x
  2. Step 2: Convert to fraction form
    64,157/96,210.84 = 22,029.24/x
  3. Step 3: Cross multiply
    64,157x = 96,210.84 × 22,029.24
  4. Step 4: Simplify right side
    64,157x = 2,119,451,684.96
  5. Step 5: Solve for x
    x = 2,119,451,684.96/64,157
  6. Step 6: Final answer
    x = 33,035.39

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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.