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Finding the Fourth Proportional to 50,736.67, 70,014.12 and 28,075.24

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Solution

The fourth proportional to 50,736.67, 70,014.12 and 28,075.24 is: 38,742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,736.67 : 70,014.12 = 28,075.24 : x
  2. Step 2: Convert to fraction form
    50,736.67/70,014.12 = 28,075.24/x
  3. Step 3: Cross multiply
    50,736.67x = 70,014.12 × 28,075.24
  4. Step 4: Simplify right side
    50,736.67x = 1,965,663,222.39
  5. Step 5: Solve for x
    x = 1,965,663,222.39/50,736.67
  6. Step 6: Final answer
    x = 38,742.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.