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Finding the Fourth Proportional to 73,378.56, 110,081.96 and 31,257.86

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Solution

The fourth proportional to 73,378.56, 110,081.96 and 31,257.86 is: 46,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,378.56 : 110,081.96 = 31,257.86 : x
  2. Step 2: Convert to fraction form
    73,378.56/110,081.96 = 31,257.86/x
  3. Step 3: Cross multiply
    73,378.56x = 110,081.96 × 31,257.86
  4. Step 4: Simplify right side
    73,378.56x = 3,440,925,787.51
  5. Step 5: Solve for x
    x = 3,440,925,787.51/73,378.56
  6. Step 6: Final answer
    x = 46,892.80

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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.