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Finding the Fourth Proportional to 31,243.14, 46,864.29 and 7,550.50

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Solution

The fourth proportional to 31,243.14, 46,864.29 and 7,550.50 is: 11,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,243.14 : 46,864.29 = 7,550.50 : x
  2. Step 2: Convert to fraction form
    31,243.14/46,864.29 = 7,550.50/x
  3. Step 3: Cross multiply
    31,243.14x = 46,864.29 × 7,550.50
  4. Step 4: Simplify right side
    31,243.14x = 353,848,821.65
  5. Step 5: Solve for x
    x = 353,848,821.65/31,243.14
  6. Step 6: Final answer
    x = 11,325.65

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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.