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Finding the Fourth Proportional to 46,971.72, 64,817.74 and 27,850.52

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Solution

The fourth proportional to 46,971.72, 64,817.74 and 27,850.52 is: 38,431.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,971.72 : 64,817.74 = 27,850.52 : x
  2. Step 2: Convert to fraction form
    46,971.72/64,817.74 = 27,850.52/x
  3. Step 3: Cross multiply
    46,971.72x = 64,817.74 × 27,850.52
  4. Step 4: Simplify right side
    46,971.72x = 1,805,207,764.22
  5. Step 5: Solve for x
    x = 1,805,207,764.22/46,971.72
  6. Step 6: Final answer
    x = 38,431.80

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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.