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Finding the Fourth Proportional to 106,046.32, 159,094.80 and 31,164.80

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Solution

The fourth proportional to 106,046.32, 159,094.80 and 31,164.80 is: 46,754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,046.32 : 159,094.80 = 31,164.80 : x
  2. Step 2: Convert to fraction form
    106,046.32/159,094.80 = 31,164.80/x
  3. Step 3: Cross multiply
    106,046.32x = 159,094.80 × 31,164.80
  4. Step 4: Simplify right side
    106,046.32x = 4,958,157,623.04
  5. Step 5: Solve for x
    x = 4,958,157,623.04/106,046.32
  6. Step 6: Final answer
    x = 46,754.64

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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.