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Finding the Fourth Proportional to 76,245, 105,254.58 and 50,794

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Solution

The fourth proportional to 76,245, 105,254.58 and 50,794 is: 70,120.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,245 : 105,254.58 = 50,794 : x
  2. Step 2: Convert to fraction form
    76,245/105,254.58 = 50,794/x
  3. Step 3: Cross multiply
    76,245x = 105,254.58 × 50,794
  4. Step 4: Simplify right side
    76,245x = 5,346,301,136.52
  5. Step 5: Solve for x
    x = 5,346,301,136.52/76,245
  6. Step 6: Final answer
    x = 70,120.02

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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.