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Finding the Fourth Proportional to 37,002, 51,062.76 and 20,235

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Solution

The fourth proportional to 37,002, 51,062.76 and 20,235 is: 27,924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,002 : 51,062.76 = 20,235 : x
  2. Step 2: Convert to fraction form
    37,002/51,062.76 = 20,235/x
  3. Step 3: Cross multiply
    37,002x = 51,062.76 × 20,235
  4. Step 4: Simplify right side
    37,002x = 1,033,254,948.60
  5. Step 5: Solve for x
    x = 1,033,254,948.60/37,002
  6. Step 6: Final answer
    x = 27,924.30

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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.