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Finding the Fourth Proportional to 46,804.08, 64,589.76 and 27,940.80

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Solution

The fourth proportional to 46,804.08, 64,589.76 and 27,940.80 is: 38,558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,804.08 : 64,589.76 = 27,940.80 : x
  2. Step 2: Convert to fraction form
    46,804.08/64,589.76 = 27,940.80/x
  3. Step 3: Cross multiply
    46,804.08x = 64,589.76 × 27,940.80
  4. Step 4: Simplify right side
    46,804.08x = 1,804,689,566.21
  5. Step 5: Solve for x
    x = 1,804,689,566.21/46,804.08
  6. Step 6: Final answer
    x = 38,558.38

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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.