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Finding the Fourth Proportional to 37,053, 51,133.14 and 20,286.04

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Solution

The fourth proportional to 37,053, 51,133.14 and 20,286.04 is: 27,994.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,053 : 51,133.14 = 20,286.04 : x
  2. Step 2: Convert to fraction form
    37,053/51,133.14 = 20,286.04/x
  3. Step 3: Cross multiply
    37,053x = 51,133.14 × 20,286.04
  4. Step 4: Simplify right side
    37,053x = 1,037,288,923.37
  5. Step 5: Solve for x
    x = 1,037,288,923.37/37,053
  6. Step 6: Final answer
    x = 27,994.74

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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.