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Finding the Fourth Proportional to 49,838.90, 68,775.09 and 30,975.62

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Solution

The fourth proportional to 49,838.90, 68,775.09 and 30,975.62 is: 42,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,838.90 : 68,775.09 = 30,975.62 : x
  2. Step 2: Convert to fraction form
    49,838.90/68,775.09 = 30,975.62/x
  3. Step 3: Cross multiply
    49,838.90x = 68,775.09 × 30,975.62
  4. Step 4: Simplify right side
    49,838.90x = 2,130,351,053.31
  5. Step 5: Solve for x
    x = 2,130,351,053.31/49,838.90
  6. Step 6: Final answer
    x = 42,744.74

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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.