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Finding the Fourth Proportional to 30,733.71, 46,102.41 and 9,674.43

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Solution

The fourth proportional to 30,733.71, 46,102.41 and 9,674.43 is: 14,512.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,733.71 : 46,102.41 = 9,674.43 : x
  2. Step 2: Convert to fraction form
    30,733.71/46,102.41 = 9,674.43/x
  3. Step 3: Cross multiply
    30,733.71x = 46,102.41 × 9,674.43
  4. Step 4: Simplify right side
    30,733.71x = 446,014,711.26
  5. Step 5: Solve for x
    x = 446,014,711.26/30,733.71
  6. Step 6: Final answer
    x = 14,512.23

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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.