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Finding the Fourth Proportional to 51,922.40, 71,652.83 and 28,049.00

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Solution

The fourth proportional to 51,922.40, 71,652.83 and 28,049.00 is: 38,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,922.40 : 71,652.83 = 28,049.00 : x
  2. Step 2: Convert to fraction form
    51,922.40/71,652.83 = 28,049.00/x
  3. Step 3: Cross multiply
    51,922.40x = 71,652.83 × 28,049.00
  4. Step 4: Simplify right side
    51,922.40x = 2,009,790,267.56
  5. Step 5: Solve for x
    x = 2,009,790,267.56/51,922.40
  6. Step 6: Final answer
    x = 38,707.57

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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.