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Finding the Fourth Proportional to 64,214.31, 96,365.22 and 22,661.31

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Solution

The fourth proportional to 64,214.31, 96,365.22 and 22,661.31 is: 34,007.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,214.31 : 96,365.22 = 22,661.31 : x
  2. Step 2: Convert to fraction form
    64,214.31/96,365.22 = 22,661.31/x
  3. Step 3: Cross multiply
    64,214.31x = 96,365.22 × 22,661.31
  4. Step 4: Simplify right side
    64,214.31x = 2,183,762,123.64
  5. Step 5: Solve for x
    x = 2,183,762,123.64/64,214.31
  6. Step 6: Final answer
    x = 34,007.41

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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.