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Finding the Fourth Proportional to 30,071.20, 41,514.90 and 22,514.80

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Solution

The fourth proportional to 30,071.20, 41,514.90 and 22,514.80 is: 31,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,071.20 : 41,514.90 = 22,514.80 : x
  2. Step 2: Convert to fraction form
    30,071.20/41,514.90 = 22,514.80/x
  3. Step 3: Cross multiply
    30,071.20x = 41,514.90 × 22,514.80
  4. Step 4: Simplify right side
    30,071.20x = 934,699,670.52
  5. Step 5: Solve for x
    x = 934,699,670.52/30,071.20
  6. Step 6: Final answer
    x = 31,082.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.