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Finding the Fourth Proportional to 73,382.62, 110,050.88 and 31,262.26

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Solution

The fourth proportional to 73,382.62, 110,050.88 and 31,262.26 is: 46,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,382.62 : 110,050.88 = 31,262.26 : x
  2. Step 2: Convert to fraction form
    73,382.62/110,050.88 = 31,262.26/x
  3. Step 3: Cross multiply
    73,382.62x = 110,050.88 × 31,262.26
  4. Step 4: Simplify right side
    73,382.62x = 3,440,439,223.79
  5. Step 5: Solve for x
    x = 3,440,439,223.79/73,382.62
  6. Step 6: Final answer
    x = 46,883.57

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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.