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Finding the Fourth Proportional to 52,647, 72,652.73 and 28,773.84

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Solution

The fourth proportional to 52,647, 72,652.73 and 28,773.84 is: 39,707.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,647 : 72,652.73 = 28,773.84 : x
  2. Step 2: Convert to fraction form
    52,647/72,652.73 = 28,773.84/x
  3. Step 3: Cross multiply
    52,647x = 72,652.73 × 28,773.84
  4. Step 4: Simplify right side
    52,647x = 2,090,497,884.71
  5. Step 5: Solve for x
    x = 2,090,497,884.71/52,647
  6. Step 6: Final answer
    x = 39,707.83

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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.