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Finding the Fourth Proportional to 30,689.70, 46,041.96 and 10,696.26

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Solution

The fourth proportional to 30,689.70, 46,041.96 and 10,696.26 is: 16,046.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,689.70 : 46,041.96 = 10,696.26 : x
  2. Step 2: Convert to fraction form
    30,689.70/46,041.96 = 10,696.26/x
  3. Step 3: Cross multiply
    30,689.70x = 46,041.96 × 10,696.26
  4. Step 4: Simplify right side
    30,689.70x = 492,476,775.07
  5. Step 5: Solve for x
    x = 492,476,775.07/30,689.70
  6. Step 6: Final answer
    x = 16,046.97

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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.