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Finding the Fourth Proportional to 50,757, 70,075.38 and 33,123.72

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Solution

The fourth proportional to 50,757, 70,075.38 and 33,123.72 is: 45,730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,757 : 70,075.38 = 33,123.72 : x
  2. Step 2: Convert to fraction form
    50,757/70,075.38 = 33,123.72/x
  3. Step 3: Cross multiply
    50,757x = 70,075.38 × 33,123.72
  4. Step 4: Simplify right side
    50,757x = 2,321,157,266.01
  5. Step 5: Solve for x
    x = 2,321,157,266.01/50,757
  6. Step 6: Final answer
    x = 45,730.78

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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.