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Finding the Fourth Proportional to 46,472.57, 69,709.09 and 11,412.24

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Solution

The fourth proportional to 46,472.57, 69,709.09 and 11,412.24 is: 17,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,472.57 : 69,709.09 = 11,412.24 : x
  2. Step 2: Convert to fraction form
    46,472.57/69,709.09 = 11,412.24/x
  3. Step 3: Cross multiply
    46,472.57x = 69,709.09 × 11,412.24
  4. Step 4: Simplify right side
    46,472.57x = 795,536,865.26
  5. Step 5: Solve for x
    x = 795,536,865.26/46,472.57
  6. Step 6: Final answer
    x = 17,118.42

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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.