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Finding the Fourth Proportional to 52,974.38, 73,123.83 and 35,075.15

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Solution

The fourth proportional to 52,974.38, 73,123.83 and 35,075.15 is: 48,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,974.38 : 73,123.83 = 35,075.15 : x
  2. Step 2: Convert to fraction form
    52,974.38/73,123.83 = 35,075.15/x
  3. Step 3: Cross multiply
    52,974.38x = 73,123.83 × 35,075.15
  4. Step 4: Simplify right side
    52,974.38x = 2,564,828,940.21
  5. Step 5: Solve for x
    x = 2,564,828,940.21/52,974.38
  6. Step 6: Final answer
    x = 48,416.41

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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.