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Finding the Fourth Proportional to 76,073.83, 104,946.51 and 49,225

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Solution

The fourth proportional to 76,073.83, 104,946.51 and 49,225 is: 67,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,073.83 : 104,946.51 = 49,225 : x
  2. Step 2: Convert to fraction form
    76,073.83/104,946.51 = 49,225/x
  3. Step 3: Cross multiply
    76,073.83x = 104,946.51 × 49,225
  4. Step 4: Simplify right side
    76,073.83x = 5,165,991,954.75
  5. Step 5: Solve for x
    x = 5,165,991,954.75/76,073.83
  6. Step 6: Final answer
    x = 67,907.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.