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Finding the Fourth Proportional to 32,004, 44,165.52 and 18,756

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Solution

The fourth proportional to 32,004, 44,165.52 and 18,756 is: 25,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,004 : 44,165.52 = 18,756 : x
  2. Step 2: Convert to fraction form
    32,004/44,165.52 = 18,756/x
  3. Step 3: Cross multiply
    32,004x = 44,165.52 × 18,756
  4. Step 4: Simplify right side
    32,004x = 828,368,493.12
  5. Step 5: Solve for x
    x = 828,368,493.12/32,004
  6. Step 6: Final answer
    x = 25,883.28

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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.