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Finding the Fourth Proportional to 76,697.54, 105,842.53 and 43,164.26

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Solution

The fourth proportional to 76,697.54, 105,842.53 and 43,164.26 is: 59,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,697.54 : 105,842.53 = 43,164.26 : x
  2. Step 2: Convert to fraction form
    76,697.54/105,842.53 = 43,164.26/x
  3. Step 3: Cross multiply
    76,697.54x = 105,842.53 × 43,164.26
  4. Step 4: Simplify right side
    76,697.54x = 4,568,614,483.98
  5. Step 5: Solve for x
    x = 4,568,614,483.98/76,697.54
  6. Step 6: Final answer
    x = 59,566.64

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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.