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Finding the Fourth Proportional to 53,896.45, 80,916.21 and 46,049.39

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Solution

The fourth proportional to 53,896.45, 80,916.21 and 46,049.39 is: 69,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,896.45 : 80,916.21 = 46,049.39 : x
  2. Step 2: Convert to fraction form
    53,896.45/80,916.21 = 46,049.39/x
  3. Step 3: Cross multiply
    53,896.45x = 80,916.21 × 46,049.39
  4. Step 4: Simplify right side
    53,896.45x = 3,726,141,881.36
  5. Step 5: Solve for x
    x = 3,726,141,881.36/53,896.45
  6. Step 6: Final answer
    x = 69,135.20

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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.