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Finding the Fourth Proportional to 46,955.75, 64,796.76 and 25,734.56

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Solution

The fourth proportional to 46,955.75, 64,796.76 and 25,734.56 is: 35,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,955.75 : 64,796.76 = 25,734.56 : x
  2. Step 2: Convert to fraction form
    46,955.75/64,796.76 = 25,734.56/x
  3. Step 3: Cross multiply
    46,955.75x = 64,796.76 × 25,734.56
  4. Step 4: Simplify right side
    46,955.75x = 1,667,515,784.04
  5. Step 5: Solve for x
    x = 1,667,515,784.04/46,955.75
  6. Step 6: Final answer
    x = 35,512.50

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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.