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Finding the Fourth Proportional to 46,410.84, 69,622.74 and 23,031

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Solution

The fourth proportional to 46,410.84, 69,622.74 and 23,031 is: 34,549.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,410.84 : 69,622.74 = 23,031 : x
  2. Step 2: Convert to fraction form
    46,410.84/69,622.74 = 23,031/x
  3. Step 3: Cross multiply
    46,410.84x = 69,622.74 × 23,031
  4. Step 4: Simplify right side
    46,410.84x = 1,603,481,324.94
  5. Step 5: Solve for x
    x = 1,603,481,324.94/46,410.84
  6. Step 6: Final answer
    x = 34,549.72

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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.