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Finding the Fourth Proportional to 76,262.73, 114,340.73 and 54,929.22

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Solution

The fourth proportional to 76,262.73, 114,340.73 and 54,929.22 is: 82,355.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,262.73 : 114,340.73 = 54,929.22 : x
  2. Step 2: Convert to fraction form
    76,262.73/114,340.73 = 54,929.22/x
  3. Step 3: Cross multiply
    76,262.73x = 114,340.73 × 54,929.22
  4. Step 4: Simplify right side
    76,262.73x = 6,280,646,838.48
  5. Step 5: Solve for x
    x = 6,280,646,838.48/76,262.73
  6. Step 6: Final answer
    x = 82,355.39

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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.