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Finding the Fourth Proportional to 53,071.44, 73,208.17 and 33,164.88

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Solution

The fourth proportional to 53,071.44, 73,208.17 and 33,164.88 is: 45,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,071.44 : 73,208.17 = 33,164.88 : x
  2. Step 2: Convert to fraction form
    53,071.44/73,208.17 = 33,164.88/x
  3. Step 3: Cross multiply
    53,071.44x = 73,208.17 × 33,164.88
  4. Step 4: Simplify right side
    53,071.44x = 2,427,940,173.07
  5. Step 5: Solve for x
    x = 2,427,940,173.07/53,071.44
  6. Step 6: Final answer
    x = 45,748.53

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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.