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Finding the Fourth Proportional to 30,071.76, 41,452.98 and 22,506.66

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Solution

The fourth proportional to 30,071.76, 41,452.98 and 22,506.66 is: 31,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,071.76 : 41,452.98 = 22,506.66 : x
  2. Step 2: Convert to fraction form
    30,071.76/41,452.98 = 22,506.66/x
  3. Step 3: Cross multiply
    30,071.76x = 41,452.98 × 22,506.66
  4. Step 4: Simplify right side
    30,071.76x = 932,968,126.85
  5. Step 5: Solve for x
    x = 932,968,126.85/30,071.76
  6. Step 6: Final answer
    x = 31,024.73

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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.