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Finding the Fourth Proportional to 73,084.68, 109,638.45 and 30,964.86

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Solution

The fourth proportional to 73,084.68, 109,638.45 and 30,964.86 is: 46,452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,084.68 : 109,638.45 = 30,964.86 : x
  2. Step 2: Convert to fraction form
    73,084.68/109,638.45 = 30,964.86/x
  3. Step 3: Cross multiply
    73,084.68x = 109,638.45 × 30,964.86
  4. Step 4: Simplify right side
    73,084.68x = 3,394,939,254.87
  5. Step 5: Solve for x
    x = 3,394,939,254.87/73,084.68
  6. Step 6: Final answer
    x = 46,452.13

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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.