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Finding the Fourth Proportional to 107,664.92, 161,495.94 and 37,544

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Solution

The fourth proportional to 107,664.92, 161,495.94 and 37,544 is: 56,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,664.92 : 161,495.94 = 37,544 : x
  2. Step 2: Convert to fraction form
    107,664.92/161,495.94 = 37,544/x
  3. Step 3: Cross multiply
    107,664.92x = 161,495.94 × 37,544
  4. Step 4: Simplify right side
    107,664.92x = 6,063,203,571.36
  5. Step 5: Solve for x
    x = 6,063,203,571.36/107,664.92
  6. Step 6: Final answer
    x = 56,315.50

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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.