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Finding the Fourth Proportional to 46,540.44, 69,362.64 and 46,466.64

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Solution

The fourth proportional to 46,540.44, 69,362.64 and 46,466.64 is: 69,252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,540.44 : 69,362.64 = 46,466.64 : x
  2. Step 2: Convert to fraction form
    46,540.44/69,362.64 = 46,466.64/x
  3. Step 3: Cross multiply
    46,540.44x = 69,362.64 × 46,466.64
  4. Step 4: Simplify right side
    46,540.44x = 3,223,048,822.33
  5. Step 5: Solve for x
    x = 3,223,048,822.33/46,540.44
  6. Step 6: Final answer
    x = 69,252.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.