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Finding the Fourth Proportional to 46,404, 69,513.84 and 22,958.88

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Solution

The fourth proportional to 46,404, 69,513.84 and 22,958.88 is: 34,392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,404 : 69,513.84 = 22,958.88 : x
  2. Step 2: Convert to fraction form
    46,404/69,513.84 = 22,958.88/x
  3. Step 3: Cross multiply
    46,404x = 69,513.84 × 22,958.88
  4. Step 4: Simplify right side
    46,404x = 1,595,959,910.90
  5. Step 5: Solve for x
    x = 1,595,959,910.90/46,404
  6. Step 6: Final answer
    x = 34,392.72

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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.