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Finding the Fourth Proportional to 64,676, 89,239.44 and 37,813.24

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Solution

The fourth proportional to 64,676, 89,239.44 and 37,813.24 is: 52,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,676 : 89,239.44 = 37,813.24 : x
  2. Step 2: Convert to fraction form
    64,676/89,239.44 = 37,813.24/x
  3. Step 3: Cross multiply
    64,676x = 89,239.44 × 37,813.24
  4. Step 4: Simplify right side
    64,676x = 3,374,432,362.19
  5. Step 5: Solve for x
    x = 3,374,432,362.19/64,676
  6. Step 6: Final answer
    x = 52,174.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.