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Finding the Fourth Proportional to 51,905.09, 71,629.03 and 28,031.76

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Solution

The fourth proportional to 51,905.09, 71,629.03 and 28,031.76 is: 38,683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,905.09 : 71,629.03 = 28,031.76 : x
  2. Step 2: Convert to fraction form
    51,905.09/71,629.03 = 28,031.76/x
  3. Step 3: Cross multiply
    51,905.09x = 71,629.03 × 28,031.76
  4. Step 4: Simplify right side
    51,905.09x = 2,007,887,777.99
  5. Step 5: Solve for x
    x = 2,007,887,777.99/51,905.09
  6. Step 6: Final answer
    x = 38,683.83

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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.