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Finding the Fourth Proportional to 52,029.84, 78,057.07 and 16,969.50

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Solution

The fourth proportional to 52,029.84, 78,057.07 and 16,969.50 is: 25,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,029.84 : 78,057.07 = 16,969.50 : x
  2. Step 2: Convert to fraction form
    52,029.84/78,057.07 = 16,969.50/x
  3. Step 3: Cross multiply
    52,029.84x = 78,057.07 × 16,969.50
  4. Step 4: Simplify right side
    52,029.84x = 1,324,589,406.94
  5. Step 5: Solve for x
    x = 1,324,589,406.94/52,029.84
  6. Step 6: Final answer
    x = 25,458.26

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1.5x scale

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.