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Finding the Fourth Proportional to 40,010.52, 55,206.96 and 24,096

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Solution

The fourth proportional to 40,010.52, 55,206.96 and 24,096 is: 33,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,010.52 : 55,206.96 = 24,096 : x
  2. Step 2: Convert to fraction form
    40,010.52/55,206.96 = 24,096/x
  3. Step 3: Cross multiply
    40,010.52x = 55,206.96 × 24,096
  4. Step 4: Simplify right side
    40,010.52x = 1,330,266,908.16
  5. Step 5: Solve for x
    x = 1,330,266,908.16/40,010.52
  6. Step 6: Final answer
    x = 33,247.93

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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.