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Finding the Fourth Proportional to 73,132.63, 109,703.03 and 20,538

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Solution

The fourth proportional to 73,132.63, 109,703.03 and 20,538 is: 30,808.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,132.63 : 109,703.03 = 20,538 : x
  2. Step 2: Convert to fraction form
    73,132.63/109,703.03 = 20,538/x
  3. Step 3: Cross multiply
    73,132.63x = 109,703.03 × 20,538
  4. Step 4: Simplify right side
    73,132.63x = 2,253,080,727.45
  5. Step 5: Solve for x
    x = 2,253,080,727.45/73,132.63
  6. Step 6: Final answer
    x = 30,808.15

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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.