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Finding the Fourth Proportional to 37,277, 51,442.26 and 20,510

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Solution

The fourth proportional to 37,277, 51,442.26 and 20,510 is: 28,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,277 : 51,442.26 = 20,510 : x
  2. Step 2: Convert to fraction form
    37,277/51,442.26 = 20,510/x
  3. Step 3: Cross multiply
    37,277x = 51,442.26 × 20,510
  4. Step 4: Simplify right side
    37,277x = 1,055,080,752.60
  5. Step 5: Solve for x
    x = 1,055,080,752.60/37,277
  6. Step 6: Final answer
    x = 28,303.80

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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.