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Finding the Fourth Proportional to 75,982.20, 114,066.90 and 47,902.20

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Solution

The fourth proportional to 75,982.20, 114,066.90 and 47,902.20 is: 71,912.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,982.20 : 114,066.90 = 47,902.20 : x
  2. Step 2: Convert to fraction form
    75,982.20/114,066.90 = 47,902.20/x
  3. Step 3: Cross multiply
    75,982.20x = 114,066.90 × 47,902.20
  4. Step 4: Simplify right side
    75,982.20x = 5,464,055,457.18
  5. Step 5: Solve for x
    x = 5,464,055,457.18/75,982.20
  6. Step 6: Final answer
    x = 71,912.31

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1.5x scale

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.