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Finding the Fourth Proportional to 46,601.78, 64,316.79 and 27,736.88

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Solution

The fourth proportional to 46,601.78, 64,316.79 and 27,736.88 is: 38,280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,601.78 : 64,316.79 = 27,736.88 : x
  2. Step 2: Convert to fraction form
    46,601.78/64,316.79 = 27,736.88/x
  3. Step 3: Cross multiply
    46,601.78x = 64,316.79 × 27,736.88
  4. Step 4: Simplify right side
    46,601.78x = 1,783,946,764.63
  5. Step 5: Solve for x
    x = 1,783,946,764.63/46,601.78
  6. Step 6: Final answer
    x = 38,280.66

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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.