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Finding the Fourth Proportional to 46,471.71, 64,136.43 and 27,608.85

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Solution

The fourth proportional to 46,471.71, 64,136.43 and 27,608.85 is: 38,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,471.71 : 64,136.43 = 27,608.85 : x
  2. Step 2: Convert to fraction form
    46,471.71/64,136.43 = 27,608.85/x
  3. Step 3: Cross multiply
    46,471.71x = 64,136.43 × 27,608.85
  4. Step 4: Simplify right side
    46,471.71x = 1,770,733,075.41
  5. Step 5: Solve for x
    x = 1,770,733,075.41/46,471.71
  6. Step 6: Final answer
    x = 38,103.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.