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Finding the Fourth Proportional to 74,549.70, 102,834.90 and 47,682.41

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Solution

The fourth proportional to 74,549.70, 102,834.90 and 47,682.41 is: 65,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,549.70 : 102,834.90 = 47,682.41 : x
  2. Step 2: Convert to fraction form
    74,549.70/102,834.90 = 47,682.41/x
  3. Step 3: Cross multiply
    74,549.70x = 102,834.90 × 47,682.41
  4. Step 4: Simplify right side
    74,549.70x = 4,903,415,349.93
  5. Step 5: Solve for x
    x = 4,903,415,349.93/74,549.70
  6. Step 6: Final answer
    x = 65,773.78

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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.