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Finding the Fourth Proportional to 41,011.78, 56,596 and 23,112.53

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Solution

The fourth proportional to 41,011.78, 56,596 and 23,112.53 is: 31,895.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,011.78 : 56,596 = 23,112.53 : x
  2. Step 2: Convert to fraction form
    41,011.78/56,596 = 23,112.53/x
  3. Step 3: Cross multiply
    41,011.78x = 56,596 × 23,112.53
  4. Step 4: Simplify right side
    41,011.78x = 1,308,076,747.88
  5. Step 5: Solve for x
    x = 1,308,076,747.88/41,011.78
  6. Step 6: Final answer
    x = 31,895.15

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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.