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Finding the Fourth Proportional to 30,889.41, 46,329.98 and 8,704.50

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Solution

The fourth proportional to 30,889.41, 46,329.98 and 8,704.50 is: 13,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,889.41 : 46,329.98 = 8,704.50 : x
  2. Step 2: Convert to fraction form
    30,889.41/46,329.98 = 8,704.50/x
  3. Step 3: Cross multiply
    30,889.41x = 46,329.98 × 8,704.50
  4. Step 4: Simplify right side
    30,889.41x = 403,279,310.91
  5. Step 5: Solve for x
    x = 403,279,310.91/30,889.41
  6. Step 6: Final answer
    x = 13,055.58

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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.