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Finding the Fourth Proportional to 73,713.44, 101,714.32 and 41,443.68

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Solution

The fourth proportional to 73,713.44, 101,714.32 and 41,443.68 is: 57,186.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,713.44 : 101,714.32 = 41,443.68 : x
  2. Step 2: Convert to fraction form
    73,713.44/101,714.32 = 41,443.68/x
  3. Step 3: Cross multiply
    73,713.44x = 101,714.32 × 41,443.68
  4. Step 4: Simplify right side
    73,713.44x = 4,215,415,729.50
  5. Step 5: Solve for x
    x = 4,215,415,729.50/73,713.44
  6. Step 6: Final answer
    x = 57,186.53

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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.