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Finding the Fourth Proportional to 46,546.46, 69,850.98 and 46,375.22

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Solution

The fourth proportional to 46,546.46, 69,850.98 and 46,375.22 is: 69,594.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,546.46 : 69,850.98 = 46,375.22 : x
  2. Step 2: Convert to fraction form
    46,546.46/69,850.98 = 46,375.22/x
  3. Step 3: Cross multiply
    46,546.46x = 69,850.98 × 46,375.22
  4. Step 4: Simplify right side
    46,546.46x = 3,239,354,564.72
  5. Step 5: Solve for x
    x = 3,239,354,564.72/46,546.46
  6. Step 6: Final answer
    x = 69,594.00

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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.