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Finding the Fourth Proportional to 30,673.26, 46,009.79 and 9,614.90

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Solution

The fourth proportional to 30,673.26, 46,009.79 and 9,614.90 is: 14,422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,673.26 : 46,009.79 = 9,614.90 : x
  2. Step 2: Convert to fraction form
    30,673.26/46,009.79 = 9,614.90/x
  3. Step 3: Cross multiply
    30,673.26x = 46,009.79 × 9,614.90
  4. Step 4: Simplify right side
    30,673.26x = 442,379,529.87
  5. Step 5: Solve for x
    x = 442,379,529.87/30,673.26
  6. Step 6: Final answer
    x = 14,422.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.