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Finding the Fourth Proportional to 71,065.49, 106,653.94 and 49,578.47

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Solution

The fourth proportional to 71,065.49, 106,653.94 and 49,578.47 is: 74,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,065.49 : 106,653.94 = 49,578.47 : x
  2. Step 2: Convert to fraction form
    71,065.49/106,653.94 = 49,578.47/x
  3. Step 3: Cross multiply
    71,065.49x = 106,653.94 × 49,578.47
  4. Step 4: Simplify right side
    71,065.49x = 5,287,739,705.95
  5. Step 5: Solve for x
    x = 5,287,739,705.95/71,065.49
  6. Step 6: Final answer
    x = 74,406.57

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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.