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Finding the Fourth Proportional to 63,824.94, 95,709.12 and 24,354.45

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Solution

The fourth proportional to 63,824.94, 95,709.12 and 24,354.45 is: 36,520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,824.94 : 95,709.12 = 24,354.45 : x
  2. Step 2: Convert to fraction form
    63,824.94/95,709.12 = 24,354.45/x
  3. Step 3: Cross multiply
    63,824.94x = 95,709.12 × 24,354.45
  4. Step 4: Simplify right side
    63,824.94x = 2,330,943,216.86
  5. Step 5: Solve for x
    x = 2,330,943,216.86/63,824.94
  6. Step 6: Final answer
    x = 36,520.88

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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.