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Finding the Fourth Proportional to 34,289, 51,433.26 and 9,328.94

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Solution

The fourth proportional to 34,289, 51,433.26 and 9,328.94 is: 13,993.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,289 : 51,433.26 = 9,328.94 : x
  2. Step 2: Convert to fraction form
    34,289/51,433.26 = 9,328.94/x
  3. Step 3: Cross multiply
    34,289x = 51,433.26 × 9,328.94
  4. Step 4: Simplify right side
    34,289x = 479,817,796.54
  5. Step 5: Solve for x
    x = 479,817,796.54/34,289
  6. Step 6: Final answer
    x = 13,993.34

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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.