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Finding the Fourth Proportional to 57,160.94, 78,857.87 and 35,932.46

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Solution

The fourth proportional to 57,160.94, 78,857.87 and 35,932.46 is: 49,571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,160.94 : 78,857.87 = 35,932.46 : x
  2. Step 2: Convert to fraction form
    57,160.94/78,857.87 = 35,932.46/x
  3. Step 3: Cross multiply
    57,160.94x = 78,857.87 × 35,932.46
  4. Step 4: Simplify right side
    57,160.94x = 2,833,556,685.51
  5. Step 5: Solve for x
    x = 2,833,556,685.51/57,160.94
  6. Step 6: Final answer
    x = 49,571.56

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1.5x scale

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.