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Finding the Fourth Proportional to 52,741, 72,782.58 and 29,189

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Solution

The fourth proportional to 52,741, 72,782.58 and 29,189 is: 40,280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,741 : 72,782.58 = 29,189 : x
  2. Step 2: Convert to fraction form
    52,741/72,782.58 = 29,189/x
  3. Step 3: Cross multiply
    52,741x = 72,782.58 × 29,189
  4. Step 4: Simplify right side
    52,741x = 2,124,450,727.62
  5. Step 5: Solve for x
    x = 2,124,450,727.62/52,741
  6. Step 6: Final answer
    x = 40,280.82

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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.