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Finding the Fourth Proportional to 46,173.48, 63,719.78 and 27,049

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Solution

The fourth proportional to 46,173.48, 63,719.78 and 27,049 is: 37,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,173.48 : 63,719.78 = 27,049 : x
  2. Step 2: Convert to fraction form
    46,173.48/63,719.78 = 27,049/x
  3. Step 3: Cross multiply
    46,173.48x = 63,719.78 × 27,049
  4. Step 4: Simplify right side
    46,173.48x = 1,723,556,329.22
  5. Step 5: Solve for x
    x = 1,723,556,329.22/46,173.48
  6. Step 6: Final answer
    x = 37,327.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.