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Finding the Fourth Proportional to 105,937.32, 158,770.83 and 49,653.26

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Solution

The fourth proportional to 105,937.32, 158,770.83 and 49,653.26 is: 74,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,937.32 : 158,770.83 = 49,653.26 : x
  2. Step 2: Convert to fraction form
    105,937.32/158,770.83 = 49,653.26/x
  3. Step 3: Cross multiply
    105,937.32x = 158,770.83 × 49,653.26
  4. Step 4: Simplify right side
    105,937.32x = 7,883,489,302.41
  5. Step 5: Solve for x
    x = 7,883,489,302.41/105,937.32
  6. Step 6: Final answer
    x = 74,416.54

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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.