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Finding the Fourth Proportional to 64,150.08, 96,222.96 and 22,596

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Solution

The fourth proportional to 64,150.08, 96,222.96 and 22,596 is: 33,893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,150.08 : 96,222.96 = 22,596 : x
  2. Step 2: Convert to fraction form
    64,150.08/96,222.96 = 22,596/x
  3. Step 3: Cross multiply
    64,150.08x = 96,222.96 × 22,596
  4. Step 4: Simplify right side
    64,150.08x = 2,174,254,004.16
  5. Step 5: Solve for x
    x = 2,174,254,004.16/64,150.08
  6. Step 6: Final answer
    x = 33,893.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.