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Finding the Fourth Proportional to 75,076.81, 103,606 and 41,085.30

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Solution

The fourth proportional to 75,076.81, 103,606 and 41,085.30 is: 56,697.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,076.81 : 103,606 = 41,085.30 : x
  2. Step 2: Convert to fraction form
    75,076.81/103,606 = 41,085.30/x
  3. Step 3: Cross multiply
    75,076.81x = 103,606 × 41,085.30
  4. Step 4: Simplify right side
    75,076.81x = 4,256,683,591.80
  5. Step 5: Solve for x
    x = 4,256,683,591.80/75,076.81
  6. Step 6: Final answer
    x = 56,697.72

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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.