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Finding the Fourth Proportional to 34,056, 46,967.04 and 22,107.96

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Solution

The fourth proportional to 34,056, 46,967.04 and 22,107.96 is: 30,489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,056 : 46,967.04 = 22,107.96 : x
  2. Step 2: Convert to fraction form
    34,056/46,967.04 = 22,107.96/x
  3. Step 3: Cross multiply
    34,056x = 46,967.04 × 22,107.96
  4. Step 4: Simplify right side
    34,056x = 1,038,345,441.64
  5. Step 5: Solve for x
    x = 1,038,345,441.64/34,056
  6. Step 6: Final answer
    x = 30,489.35

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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.