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Finding the Fourth Proportional to 52,682, 72,715.48 and 30,032.90

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Solution

The fourth proportional to 52,682, 72,715.48 and 30,032.90 is: 41,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,682 : 72,715.48 = 30,032.90 : x
  2. Step 2: Convert to fraction form
    52,682/72,715.48 = 30,032.90/x
  3. Step 3: Cross multiply
    52,682x = 72,715.48 × 30,032.90
  4. Step 4: Simplify right side
    52,682x = 2,183,856,739.29
  5. Step 5: Solve for x
    x = 2,183,856,739.29/52,682
  6. Step 6: Final answer
    x = 41,453.57

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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.