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Finding the Fourth Proportional to 37,314.20, 52,309 and 37,314.20

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Solution

The fourth proportional to 37,314.20, 52,309 and 37,314.20 is: 52,309

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,314.20 : 52,309 = 37,314.20 : x
  2. Step 2: Convert to fraction form
    37,314.20/52,309 = 37,314.20/x
  3. Step 3: Cross multiply
    37,314.20x = 52,309 × 37,314.20
  4. Step 4: Simplify right side
    37,314.20x = 1,951,868,487.80
  5. Step 5: Solve for x
    x = 1,951,868,487.80/37,314.20
  6. Step 6: Final answer
    x = 52,309

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.