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Finding the Fourth Proportional to 57,714.92, 86,574.94 and 18,274.94

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Solution

The fourth proportional to 57,714.92, 86,574.94 and 18,274.94 is: 27,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,714.92 : 86,574.94 = 18,274.94 : x
  2. Step 2: Convert to fraction form
    57,714.92/86,574.94 = 18,274.94/x
  3. Step 3: Cross multiply
    57,714.92x = 86,574.94 × 18,274.94
  4. Step 4: Simplify right side
    57,714.92x = 1,582,151,834.00
  5. Step 5: Solve for x
    x = 1,582,151,834.00/57,714.92
  6. Step 6: Final answer
    x = 27,413.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.