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Finding the Fourth Proportional to 46,524.84, 69,816.86 and 16,939.80

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Solution

The fourth proportional to 46,524.84, 69,816.86 and 16,939.80 is: 25,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,524.84 : 69,816.86 = 16,939.80 : x
  2. Step 2: Convert to fraction form
    46,524.84/69,816.86 = 16,939.80/x
  3. Step 3: Cross multiply
    46,524.84x = 69,816.86 × 16,939.80
  4. Step 4: Simplify right side
    46,524.84x = 1,182,683,645.03
  5. Step 5: Solve for x
    x = 1,182,683,645.03/46,524.84
  6. Step 6: Final answer
    x = 25,420.48

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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.