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Finding the Fourth Proportional to 37,073, 51,160.92 and 20,306

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Solution

The fourth proportional to 37,073, 51,160.92 and 20,306 is: 28,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,073 : 51,160.92 = 20,306 : x
  2. Step 2: Convert to fraction form
    37,073/51,160.92 = 20,306/x
  3. Step 3: Cross multiply
    37,073x = 51,160.92 × 20,306
  4. Step 4: Simplify right side
    37,073x = 1,038,873,641.52
  5. Step 5: Solve for x
    x = 1,038,873,641.52/37,073
  6. Step 6: Final answer
    x = 28,022.38

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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.