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Finding the Fourth Proportional to 76,150, 105,072.42 and 49,288.78

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Solution

The fourth proportional to 76,150, 105,072.42 and 49,288.78 is: 68,009.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,150 : 105,072.42 = 49,288.78 : x
  2. Step 2: Convert to fraction form
    76,150/105,072.42 = 49,288.78/x
  3. Step 3: Cross multiply
    76,150x = 105,072.42 × 49,288.78
  4. Step 4: Simplify right side
    76,150x = 5,178,891,393.45
  5. Step 5: Solve for x
    x = 5,178,891,393.45/76,150
  6. Step 6: Final answer
    x = 68,009.08

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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.