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Finding the Fourth Proportional to 50,053, 69,075.30 and 27,697

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Solution

The fourth proportional to 50,053, 69,075.30 and 27,697 is: 38,223.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,053 : 69,075.30 = 27,697 : x
  2. Step 2: Convert to fraction form
    50,053/69,075.30 = 27,697/x
  3. Step 3: Cross multiply
    50,053x = 69,075.30 × 27,697
  4. Step 4: Simplify right side
    50,053x = 1,913,178,584.10
  5. Step 5: Solve for x
    x = 1,913,178,584.10/50,053
  6. Step 6: Final answer
    x = 38,223.06

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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.