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Finding the Fourth Proportional to 85,281.12, 127,921.68 and 22,950

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Solution

The fourth proportional to 85,281.12, 127,921.68 and 22,950 is: 34,425

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,281.12 : 127,921.68 = 22,950 : x
  2. Step 2: Convert to fraction form
    85,281.12/127,921.68 = 22,950/x
  3. Step 3: Cross multiply
    85,281.12x = 127,921.68 × 22,950
  4. Step 4: Simplify right side
    85,281.12x = 2,935,802,556
  5. Step 5: Solve for x
    x = 2,935,802,556/85,281.12
  6. Step 6: Final answer
    x = 34,425

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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.