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Finding the Fourth Proportional to 30,672.38, 46,018.29 and 10,950.50

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Solution

The fourth proportional to 30,672.38, 46,018.29 and 10,950.50 is: 16,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,672.38 : 46,018.29 = 10,950.50 : x
  2. Step 2: Convert to fraction form
    30,672.38/46,018.29 = 10,950.50/x
  3. Step 3: Cross multiply
    30,672.38x = 46,018.29 × 10,950.50
  4. Step 4: Simplify right side
    30,672.38x = 503,923,284.65
  5. Step 5: Solve for x
    x = 503,923,284.65/30,672.38
  6. Step 6: Final answer
    x = 16,429.22

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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.