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Finding the Fourth Proportional to 46,524.81, 69,752.82 and 14,916.54

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Solution

The fourth proportional to 46,524.81, 69,752.82 and 14,916.54 is: 22,363.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,524.81 : 69,752.82 = 14,916.54 : x
  2. Step 2: Convert to fraction form
    46,524.81/69,752.82 = 14,916.54/x
  3. Step 3: Cross multiply
    46,524.81x = 69,752.82 × 14,916.54
  4. Step 4: Simplify right side
    46,524.81x = 1,040,470,729.64
  5. Step 5: Solve for x
    x = 1,040,470,729.64/46,524.81
  6. Step 6: Final answer
    x = 22,363.78

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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.