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Finding the Fourth Proportional to 37,024.50, 51,093.81 and 20,257.50

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Solution

The fourth proportional to 37,024.50, 51,093.81 and 20,257.50 is: 27,955.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,024.50 : 51,093.81 = 20,257.50 : x
  2. Step 2: Convert to fraction form
    37,024.50/51,093.81 = 20,257.50/x
  3. Step 3: Cross multiply
    37,024.50x = 51,093.81 × 20,257.50
  4. Step 4: Simplify right side
    37,024.50x = 1,035,032,856.08
  5. Step 5: Solve for x
    x = 1,035,032,856.08/37,024.50
  6. Step 6: Final answer
    x = 27,955.35

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1.5x scale

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.