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Finding the Fourth Proportional to 33,254.64, 49,895.64 and 24,415.11

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Solution

The fourth proportional to 33,254.64, 49,895.64 and 24,415.11 is: 36,632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,254.64 : 49,895.64 = 24,415.11 : x
  2. Step 2: Convert to fraction form
    33,254.64/49,895.64 = 24,415.11/x
  3. Step 3: Cross multiply
    33,254.64x = 49,895.64 × 24,415.11
  4. Step 4: Simplify right side
    33,254.64x = 1,218,207,539.12
  5. Step 5: Solve for x
    x = 1,218,207,539.12/33,254.64
  6. Step 6: Final answer
    x = 36,632.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.