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Finding the Fourth Proportional to 37,856.40, 52,239.78 and 20,857.35

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Solution

The fourth proportional to 37,856.40, 52,239.78 and 20,857.35 is: 28,782.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,856.40 : 52,239.78 = 20,857.35 : x
  2. Step 2: Convert to fraction form
    37,856.40/52,239.78 = 20,857.35/x
  3. Step 3: Cross multiply
    37,856.40x = 52,239.78 × 20,857.35
  4. Step 4: Simplify right side
    37,856.40x = 1,089,583,375.38
  5. Step 5: Solve for x
    x = 1,089,583,375.38/37,856.40
  6. Step 6: Final answer
    x = 28,782.01

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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.