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Finding the Fourth Proportional to 37,030, 51,101.40 and 20,263

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Solution

The fourth proportional to 37,030, 51,101.40 and 20,263 is: 27,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,030 : 51,101.40 = 20,263 : x
  2. Step 2: Convert to fraction form
    37,030/51,101.40 = 20,263/x
  3. Step 3: Cross multiply
    37,030x = 51,101.40 × 20,263
  4. Step 4: Simplify right side
    37,030x = 1,035,467,668.20
  5. Step 5: Solve for x
    x = 1,035,467,668.20/37,030
  6. Step 6: Final answer
    x = 27,962.94

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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.