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Finding the Fourth Proportional to 76,447.58, 114,611.30 and 48,308.45

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Solution

The fourth proportional to 76,447.58, 114,611.30 and 48,308.45 is: 72,424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,447.58 : 114,611.30 = 48,308.45 : x
  2. Step 2: Convert to fraction form
    76,447.58/114,611.30 = 48,308.45/x
  3. Step 3: Cross multiply
    76,447.58x = 114,611.30 × 48,308.45
  4. Step 4: Simplify right side
    76,447.58x = 5,536,694,013.94
  5. Step 5: Solve for x
    x = 5,536,694,013.94/76,447.58
  6. Step 6: Final answer
    x = 72,424.71

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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.