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Finding the Fourth Proportional to 46,866.89, 64,652.09 and 31,754.39

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Solution

The fourth proportional to 46,866.89, 64,652.09 and 31,754.39 is: 43,804.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,866.89 : 64,652.09 = 31,754.39 : x
  2. Step 2: Convert to fraction form
    46,866.89/64,652.09 = 31,754.39/x
  3. Step 3: Cross multiply
    46,866.89x = 64,652.09 × 31,754.39
  4. Step 4: Simplify right side
    46,866.89x = 2,052,987,198.14
  5. Step 5: Solve for x
    x = 2,052,987,198.14/46,866.89
  6. Step 6: Final answer
    x = 43,804.64

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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.