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Finding the Fourth Proportional to 50,751.55, 70,039.01 and 27,782.99

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Solution

The fourth proportional to 50,751.55, 70,039.01 and 27,782.99 is: 38,341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,751.55 : 70,039.01 = 27,782.99 : x
  2. Step 2: Convert to fraction form
    50,751.55/70,039.01 = 27,782.99/x
  3. Step 3: Cross multiply
    50,751.55x = 70,039.01 × 27,782.99
  4. Step 4: Simplify right side
    50,751.55x = 1,945,893,096.35
  5. Step 5: Solve for x
    x = 1,945,893,096.35/50,751.55
  6. Step 6: Final answer
    x = 38,341.55

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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.