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Finding the Fourth Proportional to 50,930.42, 76,421.90 and 22,870

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Solution

The fourth proportional to 50,930.42, 76,421.90 and 22,870 is: 34,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,930.42 : 76,421.90 = 22,870 : x
  2. Step 2: Convert to fraction form
    50,930.42/76,421.90 = 22,870/x
  3. Step 3: Cross multiply
    50,930.42x = 76,421.90 × 22,870
  4. Step 4: Simplify right side
    50,930.42x = 1,747,768,853.00
  5. Step 5: Solve for x
    x = 1,747,768,853.00/50,930.42
  6. Step 6: Final answer
    x = 34,316.80

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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.