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Finding the Fourth Proportional to 46,110.20, 69,165.30 and 45,764.60

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Solution

The fourth proportional to 46,110.20, 69,165.30 and 45,764.60 is: 68,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,110.20 : 69,165.30 = 45,764.60 : x
  2. Step 2: Convert to fraction form
    46,110.20/69,165.30 = 45,764.60/x
  3. Step 3: Cross multiply
    46,110.20x = 69,165.30 × 45,764.60
  4. Step 4: Simplify right side
    46,110.20x = 3,165,322,288.38
  5. Step 5: Solve for x
    x = 3,165,322,288.38/46,110.20
  6. Step 6: Final answer
    x = 68,646.90

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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.