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Finding the Fourth Proportional to 46,080.46, 69,118.26 and 22,699

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Solution

The fourth proportional to 46,080.46, 69,118.26 and 22,699 is: 34,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,080.46 : 69,118.26 = 22,699 : x
  2. Step 2: Convert to fraction form
    46,080.46/69,118.26 = 22,699/x
  3. Step 3: Cross multiply
    46,080.46x = 69,118.26 × 22,699
  4. Step 4: Simplify right side
    46,080.46x = 1,568,915,383.74
  5. Step 5: Solve for x
    x = 1,568,915,383.74/46,080.46
  6. Step 6: Final answer
    x = 34,047.30

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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.