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Finding the Fourth Proportional to 34,050, 51,075 and 9,426

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Solution

The fourth proportional to 34,050, 51,075 and 9,426 is: 14,139

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,050 : 51,075 = 9,426 : x
  2. Step 2: Convert to fraction form
    34,050/51,075 = 9,426/x
  3. Step 3: Cross multiply
    34,050x = 51,075 × 9,426
  4. Step 4: Simplify right side
    34,050x = 481,432,950
  5. Step 5: Solve for x
    x = 481,432,950/34,050
  6. Step 6: Final answer
    x = 14,139

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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.