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Finding the Fourth Proportional to 76,762.08, 105,941.76 and 43,234.56

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Solution

The fourth proportional to 76,762.08, 105,941.76 and 43,234.56 is: 59,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,762.08 : 105,941.76 = 43,234.56 : x
  2. Step 2: Convert to fraction form
    76,762.08/105,941.76 = 43,234.56/x
  3. Step 3: Cross multiply
    76,762.08x = 105,941.76 × 43,234.56
  4. Step 4: Simplify right side
    76,762.08x = 4,580,345,379.23
  5. Step 5: Solve for x
    x = 4,580,345,379.23/76,762.08
  6. Step 6: Final answer
    x = 59,669.38

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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.