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Finding the Fourth Proportional to 51,992.53, 71,749.70 and 28,119.20

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Solution

The fourth proportional to 51,992.53, 71,749.70 and 28,119.20 is: 38,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,992.53 : 71,749.70 = 28,119.20 : x
  2. Step 2: Convert to fraction form
    51,992.53/71,749.70 = 28,119.20/x
  3. Step 3: Cross multiply
    51,992.53x = 71,749.70 × 28,119.20
  4. Step 4: Simplify right side
    51,992.53x = 2,017,544,173.93
  5. Step 5: Solve for x
    x = 2,017,544,173.93/51,992.53
  6. Step 6: Final answer
    x = 38,804.50

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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.