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Finding the Fourth Proportional to 37,315.60, 55,971.48 and 13,940.20

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Solution

The fourth proportional to 37,315.60, 55,971.48 and 13,940.20 is: 20,909.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,315.60 : 55,971.48 = 13,940.20 : x
  2. Step 2: Convert to fraction form
    37,315.60/55,971.48 = 13,940.20/x
  3. Step 3: Cross multiply
    37,315.60x = 55,971.48 × 13,940.20
  4. Step 4: Simplify right side
    37,315.60x = 780,253,625.50
  5. Step 5: Solve for x
    x = 780,253,625.50/37,315.60
  6. Step 6: Final answer
    x = 20,909.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.