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Finding the Fourth Proportional to 46,808.56, 69,850.58 and 41,824

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Solution

The fourth proportional to 46,808.56, 69,850.58 and 41,824 is: 62,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,808.56 : 69,850.58 = 41,824 : x
  2. Step 2: Convert to fraction form
    46,808.56/69,850.58 = 41,824/x
  3. Step 3: Cross multiply
    46,808.56x = 69,850.58 × 41,824
  4. Step 4: Simplify right side
    46,808.56x = 2,921,430,657.92
  5. Step 5: Solve for x
    x = 2,921,430,657.92/46,808.56
  6. Step 6: Final answer
    x = 62,412.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.