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Finding the Fourth Proportional to 106,036, 159,054.96 and 32,164

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Solution

The fourth proportional to 106,036, 159,054.96 and 32,164 is: 48,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,036 : 159,054.96 = 32,164 : x
  2. Step 2: Convert to fraction form
    106,036/159,054.96 = 32,164/x
  3. Step 3: Cross multiply
    106,036x = 159,054.96 × 32,164
  4. Step 4: Simplify right side
    106,036x = 5,115,843,733.44
  5. Step 5: Solve for x
    x = 5,115,843,733.44/106,036
  6. Step 6: Final answer
    x = 48,246.29

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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.