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Finding the Fourth Proportional to 49,133, 67,803.48 and 26,777

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Solution

The fourth proportional to 49,133, 67,803.48 and 26,777 is: 36,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,133 : 67,803.48 = 26,777 : x
  2. Step 2: Convert to fraction form
    49,133/67,803.48 = 26,777/x
  3. Step 3: Cross multiply
    49,133x = 67,803.48 × 26,777
  4. Step 4: Simplify right side
    49,133x = 1,815,573,783.96
  5. Step 5: Solve for x
    x = 1,815,573,783.96/49,133
  6. Step 6: Final answer
    x = 36,952.23

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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.