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Finding the Fourth Proportional to 46,944, 64,782.72 and 27,072

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Solution

The fourth proportional to 46,944, 64,782.72 and 27,072 is: 37,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,944 : 64,782.72 = 27,072 : x
  2. Step 2: Convert to fraction form
    46,944/64,782.72 = 27,072/x
  3. Step 3: Cross multiply
    46,944x = 64,782.72 × 27,072
  4. Step 4: Simplify right side
    46,944x = 1,753,797,795.84
  5. Step 5: Solve for x
    x = 1,753,797,795.84/46,944
  6. Step 6: Final answer
    x = 37,359.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.