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Finding the Fourth Proportional to 49,811, 68,740.26 and 27,455

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Solution

The fourth proportional to 49,811, 68,740.26 and 27,455 is: 37,888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,811 : 68,740.26 = 27,455 : x
  2. Step 2: Convert to fraction form
    49,811/68,740.26 = 27,455/x
  3. Step 3: Cross multiply
    49,811x = 68,740.26 × 27,455
  4. Step 4: Simplify right side
    49,811x = 1,887,263,838.30
  5. Step 5: Solve for x
    x = 1,887,263,838.30/49,811
  6. Step 6: Final answer
    x = 37,888.50

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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.