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Finding the Fourth Proportional to 43,346.88, 65,072.16 and 25,824.96

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Solution

The fourth proportional to 43,346.88, 65,072.16 and 25,824.96 is: 38,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,346.88 : 65,072.16 = 25,824.96 : x
  2. Step 2: Convert to fraction form
    43,346.88/65,072.16 = 25,824.96/x
  3. Step 3: Cross multiply
    43,346.88x = 65,072.16 × 25,824.96
  4. Step 4: Simplify right side
    43,346.88x = 1,680,485,929.11
  5. Step 5: Solve for x
    x = 1,680,485,929.11/43,346.88
  6. Step 6: Final answer
    x = 38,768.32

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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.