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Finding the Fourth Proportional to 37,026, 51,096.96 and 20,260.08

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Solution

The fourth proportional to 37,026, 51,096.96 and 20,260.08 is: 27,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,026 : 51,096.96 = 20,260.08 : x
  2. Step 2: Convert to fraction form
    37,026/51,096.96 = 20,260.08/x
  3. Step 3: Cross multiply
    37,026x = 51,096.96 × 20,260.08
  4. Step 4: Simplify right side
    37,026x = 1,035,228,497.36
  5. Step 5: Solve for x
    x = 1,035,228,497.36/37,026
  6. Step 6: Final answer
    x = 27,959.50

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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.