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Finding the Fourth Proportional to 74,853.63, 103,315.38 and 49,364.60

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Solution

The fourth proportional to 74,853.63, 103,315.38 and 49,364.60 is: 68,134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,853.63 : 103,315.38 = 49,364.60 : x
  2. Step 2: Convert to fraction form
    74,853.63/103,315.38 = 49,364.60/x
  3. Step 3: Cross multiply
    74,853.63x = 103,315.38 × 49,364.60
  4. Step 4: Simplify right side
    74,853.63x = 5,100,121,705.85
  5. Step 5: Solve for x
    x = 5,100,121,705.85/74,853.63
  6. Step 6: Final answer
    x = 68,134.59

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Why These Related Problems?

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