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Finding the Fourth Proportional to 73,676.42, 101,709.81 and 51,032.66

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Solution

The fourth proportional to 73,676.42, 101,709.81 and 51,032.66 is: 70,450.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,676.42 : 101,709.81 = 51,032.66 : x
  2. Step 2: Convert to fraction form
    73,676.42/101,709.81 = 51,032.66/x
  3. Step 3: Cross multiply
    73,676.42x = 101,709.81 × 51,032.66
  4. Step 4: Simplify right side
    73,676.42x = 5,190,522,152.39
  5. Step 5: Solve for x
    x = 5,190,522,152.39/73,676.42
  6. Step 6: Final answer
    x = 70,450.25

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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.