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Finding the Fourth Proportional to 37,102.50, 51,201.45 and 20,335.50

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Solution

The fourth proportional to 37,102.50, 51,201.45 and 20,335.50 is: 28,062.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102.50 : 51,201.45 = 20,335.50 : x
  2. Step 2: Convert to fraction form
    37,102.50/51,201.45 = 20,335.50/x
  3. Step 3: Cross multiply
    37,102.50x = 51,201.45 × 20,335.50
  4. Step 4: Simplify right side
    37,102.50x = 1,041,207,086.48
  5. Step 5: Solve for x
    x = 1,041,207,086.48/37,102.50
  6. Step 6: Final answer
    x = 28,062.99

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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.