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Finding the Fourth Proportional to 85,249, 117,647.67 and 47,523.25

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Solution

The fourth proportional to 85,249, 117,647.67 and 47,523.25 is: 65,584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,249 : 117,647.67 = 47,523.25 : x
  2. Step 2: Convert to fraction form
    85,249/117,647.67 = 47,523.25/x
  3. Step 3: Cross multiply
    85,249x = 117,647.67 × 47,523.25
  4. Step 4: Simplify right side
    85,249x = 5,590,999,633.33
  5. Step 5: Solve for x
    x = 5,590,999,633.33/85,249
  6. Step 6: Final answer
    x = 65,584.34

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1.5x scale

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.