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Finding the Fourth Proportional to 52,057.80, 78,075 and 23,950.89

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Solution

The fourth proportional to 52,057.80, 78,075 and 23,950.89 is: 35,920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,057.80 : 78,075 = 23,950.89 : x
  2. Step 2: Convert to fraction form
    52,057.80/78,075 = 23,950.89/x
  3. Step 3: Cross multiply
    52,057.80x = 78,075 × 23,950.89
  4. Step 4: Simplify right side
    52,057.80x = 1,869,965,736.75
  5. Step 5: Solve for x
    x = 1,869,965,736.75/52,057.80
  6. Step 6: Final answer
    x = 35,920.95

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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.