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Finding the Fourth Proportional to 40,415.96, 55,774.12 and 23,423.48

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Solution

The fourth proportional to 40,415.96, 55,774.12 and 23,423.48 is: 32,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,415.96 : 55,774.12 = 23,423.48 : x
  2. Step 2: Convert to fraction form
    40,415.96/55,774.12 = 23,423.48/x
  3. Step 3: Cross multiply
    40,415.96x = 55,774.12 × 23,423.48
  4. Step 4: Simplify right side
    40,415.96x = 1,306,423,899.98
  5. Step 5: Solve for x
    x = 1,306,423,899.98/40,415.96
  6. Step 6: Final answer
    x = 32,324.45

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Why These Related Problems?

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