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Finding the Fourth Proportional to 73,783.76, 101,843.40 and 51,434.96

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Solution

The fourth proportional to 73,783.76, 101,843.40 and 51,434.96 is: 70,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,783.76 : 101,843.40 = 51,434.96 : x
  2. Step 2: Convert to fraction form
    73,783.76/101,843.40 = 51,434.96/x
  3. Step 3: Cross multiply
    73,783.76x = 101,843.40 × 51,434.96
  4. Step 4: Simplify right side
    73,783.76x = 5,238,311,205.26
  5. Step 5: Solve for x
    x = 5,238,311,205.26/73,783.76
  6. Step 6: Final answer
    x = 70,995.45

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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.