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Finding the Fourth Proportional to 66,142.96, 91,278.27 and 35,928.87

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Solution

The fourth proportional to 66,142.96, 91,278.27 and 35,928.87 is: 49,582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,142.96 : 91,278.27 = 35,928.87 : x
  2. Step 2: Convert to fraction form
    66,142.96/91,278.27 = 35,928.87/x
  3. Step 3: Cross multiply
    66,142.96x = 91,278.27 × 35,928.87
  4. Step 4: Simplify right side
    66,142.96x = 3,279,525,096.65
  5. Step 5: Solve for x
    x = 3,279,525,096.65/66,142.96
  6. Step 6: Final answer
    x = 49,582.38

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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.