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Finding the Fourth Proportional to 46,630.76, 64,372.05 and 27,504.09

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Solution

The fourth proportional to 46,630.76, 64,372.05 and 27,504.09 is: 37,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,630.76 : 64,372.05 = 27,504.09 : x
  2. Step 2: Convert to fraction form
    46,630.76/64,372.05 = 27,504.09/x
  3. Step 3: Cross multiply
    46,630.76x = 64,372.05 × 27,504.09
  4. Step 4: Simplify right side
    46,630.76x = 1,770,494,656.68
  5. Step 5: Solve for x
    x = 1,770,494,656.68/46,630.76
  6. Step 6: Final answer
    x = 37,968.39

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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.