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Finding the Fourth Proportional to 29,004, 40,025.76 and 15,756

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Solution

The fourth proportional to 29,004, 40,025.76 and 15,756 is: 21,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,004 : 40,025.76 = 15,756 : x
  2. Step 2: Convert to fraction form
    29,004/40,025.76 = 15,756/x
  3. Step 3: Cross multiply
    29,004x = 40,025.76 × 15,756
  4. Step 4: Simplify right side
    29,004x = 630,645,874.56
  5. Step 5: Solve for x
    x = 630,645,874.56/29,004
  6. Step 6: Final answer
    x = 21,743.41

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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.