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Finding the Fourth Proportional to 43,647.06, 65,419.80 and 24,940.20

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Solution

The fourth proportional to 43,647.06, 65,419.80 and 24,940.20 is: 37,381.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,647.06 : 65,419.80 = 24,940.20 : x
  2. Step 2: Convert to fraction form
    43,647.06/65,419.80 = 24,940.20/x
  3. Step 3: Cross multiply
    43,647.06x = 65,419.80 × 24,940.20
  4. Step 4: Simplify right side
    43,647.06x = 1,631,582,895.96
  5. Step 5: Solve for x
    x = 1,631,582,895.96/43,647.06
  6. Step 6: Final answer
    x = 37,381.28

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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.