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Finding the Fourth Proportional to 37,953, 52,371.14 and 22,034.34

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Solution

The fourth proportional to 37,953, 52,371.14 and 22,034.34 is: 30,405.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,953 : 52,371.14 = 22,034.34 : x
  2. Step 2: Convert to fraction form
    37,953/52,371.14 = 22,034.34/x
  3. Step 3: Cross multiply
    37,953x = 52,371.14 × 22,034.34
  4. Step 4: Simplify right side
    37,953x = 1,153,963,504.95
  5. Step 5: Solve for x
    x = 1,153,963,504.95/37,953
  6. Step 6: Final answer
    x = 30,405.07

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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.