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Finding the Fourth Proportional to 37,413, 51,629.94 and 20,646

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Solution

The fourth proportional to 37,413, 51,629.94 and 20,646 is: 28,491.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,413 : 51,629.94 = 20,646 : x
  2. Step 2: Convert to fraction form
    37,413/51,629.94 = 20,646/x
  3. Step 3: Cross multiply
    37,413x = 51,629.94 × 20,646
  4. Step 4: Simplify right side
    37,413x = 1,065,951,741.24
  5. Step 5: Solve for x
    x = 1,065,951,741.24/37,413
  6. Step 6: Final answer
    x = 28,491.48

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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.