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Finding the Fourth Proportional to 46,706.70, 69,983.10 and 26,950.80

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Solution

The fourth proportional to 46,706.70, 69,983.10 and 26,950.80 is: 40,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,706.70 : 69,983.10 = 26,950.80 : x
  2. Step 2: Convert to fraction form
    46,706.70/69,983.10 = 26,950.80/x
  3. Step 3: Cross multiply
    46,706.70x = 69,983.10 × 26,950.80
  4. Step 4: Simplify right side
    46,706.70x = 1,886,100,531.48
  5. Step 5: Solve for x
    x = 1,886,100,531.48/46,706.70
  6. Step 6: Final answer
    x = 40,381.80

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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.