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Finding the Fourth Proportional to 29,010, 40,053.12 and 22,283.64

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Solution

The fourth proportional to 29,010, 40,053.12 and 22,283.64 is: 30,766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,010 : 40,053.12 = 22,283.64 : x
  2. Step 2: Convert to fraction form
    29,010/40,053.12 = 22,283.64/x
  3. Step 3: Cross multiply
    29,010x = 40,053.12 × 22,283.64
  4. Step 4: Simplify right side
    29,010x = 892,529,306.96
  5. Step 5: Solve for x
    x = 892,529,306.96/29,010
  6. Step 6: Final answer
    x = 30,766.26

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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.