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Finding the Fourth Proportional to 46,516.24, 69,774.41 and 16,934.32

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Solution

The fourth proportional to 46,516.24, 69,774.41 and 16,934.32 is: 25,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,516.24 : 69,774.41 = 16,934.32 : x
  2. Step 2: Convert to fraction form
    46,516.24/69,774.41 = 16,934.32/x
  3. Step 3: Cross multiply
    46,516.24x = 69,774.41 × 16,934.32
  4. Step 4: Simplify right side
    46,516.24x = 1,181,582,186.75
  5. Step 5: Solve for x
    x = 1,181,582,186.75/46,516.24
  6. Step 6: Final answer
    x = 25,401.50

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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.