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Finding the Fourth Proportional to 73,871.42, 110,790.92 and 21,269.48

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Solution

The fourth proportional to 73,871.42, 110,790.92 and 21,269.48 is: 31,899.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,871.42 : 110,790.92 = 21,269.48 : x
  2. Step 2: Convert to fraction form
    73,871.42/110,790.92 = 21,269.48/x
  3. Step 3: Cross multiply
    73,871.42x = 110,790.92 × 21,269.48
  4. Step 4: Simplify right side
    73,871.42x = 2,356,464,756.34
  5. Step 5: Solve for x
    x = 2,356,464,756.34/73,871.42
  6. Step 6: Final answer
    x = 31,899.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.