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Finding the Fourth Proportional to 46,481.92, 69,724.52 and 14,887.87

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Solution

The fourth proportional to 46,481.92, 69,724.52 and 14,887.87 is: 22,332.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,481.92 : 69,724.52 = 14,887.87 : x
  2. Step 2: Convert to fraction form
    46,481.92/69,724.52 = 14,887.87/x
  3. Step 3: Cross multiply
    46,481.92x = 69,724.52 × 14,887.87
  4. Step 4: Simplify right side
    46,481.92x = 1,038,049,589.57
  5. Step 5: Solve for x
    x = 1,038,049,589.57/46,481.92
  6. Step 6: Final answer
    x = 22,332.33

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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.