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Finding the Fourth Proportional to 46,558.60, 64,249.66 and 27,181.22

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Solution

The fourth proportional to 46,558.60, 64,249.66 and 27,181.22 is: 37,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,558.60 : 64,249.66 = 27,181.22 : x
  2. Step 2: Convert to fraction form
    46,558.60/64,249.66 = 27,181.22/x
  3. Step 3: Cross multiply
    46,558.60x = 64,249.66 × 27,181.22
  4. Step 4: Simplify right side
    46,558.60x = 1,746,384,064.62
  5. Step 5: Solve for x
    x = 1,746,384,064.62/46,558.60
  6. Step 6: Final answer
    x = 37,509.38

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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.