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Finding the Fourth Proportional to 52,728.96, 72,786.96 and 34,586.58

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Solution

The fourth proportional to 52,728.96, 72,786.96 and 34,586.58 is: 47,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,728.96 : 72,786.96 = 34,586.58 : x
  2. Step 2: Convert to fraction form
    52,728.96/72,786.96 = 34,586.58/x
  3. Step 3: Cross multiply
    52,728.96x = 72,786.96 × 34,586.58
  4. Step 4: Simplify right side
    52,728.96x = 2,517,452,015.00
  5. Step 5: Solve for x
    x = 2,517,452,015.00/52,728.96
  6. Step 6: Final answer
    x = 47,743.25

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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.