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Finding the Fourth Proportional to 76,097, 105,014.22 and 42,563

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Solution

The fourth proportional to 76,097, 105,014.22 and 42,563 is: 58,737.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,097 : 105,014.22 = 42,563 : x
  2. Step 2: Convert to fraction form
    76,097/105,014.22 = 42,563/x
  3. Step 3: Cross multiply
    76,097x = 105,014.22 × 42,563
  4. Step 4: Simplify right side
    76,097x = 4,469,720,245.86
  5. Step 5: Solve for x
    x = 4,469,720,245.86/76,097
  6. Step 6: Final answer
    x = 58,737.14

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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.