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Finding the Fourth Proportional to 76,634.86, 114,802.80 and 43,253.94

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Solution

The fourth proportional to 76,634.86, 114,802.80 and 43,253.94 is: 64,796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,634.86 : 114,802.80 = 43,253.94 : x
  2. Step 2: Convert to fraction form
    76,634.86/114,802.80 = 43,253.94/x
  3. Step 3: Cross multiply
    76,634.86x = 114,802.80 × 43,253.94
  4. Step 4: Simplify right side
    76,634.86x = 4,965,673,423.03
  5. Step 5: Solve for x
    x = 4,965,673,423.03/76,634.86
  6. Step 6: Final answer
    x = 64,796.54

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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.