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Finding the Fourth Proportional to 46,491.61, 69,736.80 and 11,431.57

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Solution

The fourth proportional to 46,491.61, 69,736.80 and 11,431.57 is: 17,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,491.61 : 69,736.80 = 11,431.57 : x
  2. Step 2: Convert to fraction form
    46,491.61/69,736.80 = 11,431.57/x
  3. Step 3: Cross multiply
    46,491.61x = 69,736.80 × 11,431.57
  4. Step 4: Simplify right side
    46,491.61x = 797,200,762.09
  5. Step 5: Solve for x
    x = 797,200,762.09/46,491.61
  6. Step 6: Final answer
    x = 17,147.20

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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.