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Finding the Fourth Proportional to 84,899.56, 117,164.46 and 47,173

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Solution

The fourth proportional to 84,899.56, 117,164.46 and 47,173 is: 65,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,899.56 : 117,164.46 = 47,173 : x
  2. Step 2: Convert to fraction form
    84,899.56/117,164.46 = 47,173/x
  3. Step 3: Cross multiply
    84,899.56x = 117,164.46 × 47,173
  4. Step 4: Simplify right side
    84,899.56x = 5,526,999,071.58
  5. Step 5: Solve for x
    x = 5,526,999,071.58/84,899.56
  6. Step 6: Final answer
    x = 65,100.44

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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.