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Finding the Fourth Proportional to 46,961, 70,419.19 and 27,245.60

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Solution

The fourth proportional to 46,961, 70,419.19 and 27,245.60 is: 40,855.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,961 : 70,419.19 = 27,245.60 : x
  2. Step 2: Convert to fraction form
    46,961/70,419.19 = 27,245.60/x
  3. Step 3: Cross multiply
    46,961x = 70,419.19 × 27,245.60
  4. Step 4: Simplify right side
    46,961x = 1,918,613,083.06
  5. Step 5: Solve for x
    x = 1,918,613,083.06/46,961
  6. Step 6: Final answer
    x = 40,855.46

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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.