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Finding the Fourth Proportional to 46,647.78, 69,869.11 and 38,550.78

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Solution

The fourth proportional to 46,647.78, 69,869.11 and 38,550.78 is: 57,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,647.78 : 69,869.11 = 38,550.78 : x
  2. Step 2: Convert to fraction form
    46,647.78/69,869.11 = 38,550.78/x
  3. Step 3: Cross multiply
    46,647.78x = 69,869.11 × 38,550.78
  4. Step 4: Simplify right side
    46,647.78x = 2,693,508,732.12
  5. Step 5: Solve for x
    x = 2,693,508,732.12/46,647.78
  6. Step 6: Final answer
    x = 57,741.41

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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.