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Finding the Fourth Proportional to 51,908.42, 77,873.52 and 16,845.32

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Solution

The fourth proportional to 51,908.42, 77,873.52 and 16,845.32 is: 25,271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,908.42 : 77,873.52 = 16,845.32 : x
  2. Step 2: Convert to fraction form
    51,908.42/77,873.52 = 16,845.32/x
  3. Step 3: Cross multiply
    51,908.42x = 77,873.52 × 16,845.32
  4. Step 4: Simplify right side
    51,908.42x = 1,311,804,363.93
  5. Step 5: Solve for x
    x = 1,311,804,363.93/51,908.42
  6. Step 6: Final answer
    x = 25,271.51

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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.