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Finding the Fourth Proportional to 64,648.29, 89,213.33 and 35,967.38

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Solution

The fourth proportional to 64,648.29, 89,213.33 and 35,967.38 is: 49,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,648.29 : 89,213.33 = 35,967.38 : x
  2. Step 2: Convert to fraction form
    64,648.29/89,213.33 = 35,967.38/x
  3. Step 3: Cross multiply
    64,648.29x = 89,213.33 × 35,967.38
  4. Step 4: Simplify right side
    64,648.29x = 3,208,769,385.03
  5. Step 5: Solve for x
    x = 3,208,769,385.03/64,648.29
  6. Step 6: Final answer
    x = 49,634.25

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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.