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Finding the Fourth Proportional to 75,482.50, 104,157.97 and 43,645.25

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Solution

The fourth proportional to 75,482.50, 104,157.97 and 43,645.25 is: 60,225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,482.50 : 104,157.97 = 43,645.25 : x
  2. Step 2: Convert to fraction form
    75,482.50/104,157.97 = 43,645.25/x
  3. Step 3: Cross multiply
    75,482.50x = 104,157.97 × 43,645.25
  4. Step 4: Simplify right side
    75,482.50x = 4,546,000,205.54
  5. Step 5: Solve for x
    x = 4,546,000,205.54/75,482.50
  6. Step 6: Final answer
    x = 60,225.88

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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.