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Finding the Fourth Proportional to 57,983.27, 86,999.66 and 24,719

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Solution

The fourth proportional to 57,983.27, 86,999.66 and 24,719 is: 37,089.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,983.27 : 86,999.66 = 24,719 : x
  2. Step 2: Convert to fraction form
    57,983.27/86,999.66 = 24,719/x
  3. Step 3: Cross multiply
    57,983.27x = 86,999.66 × 24,719
  4. Step 4: Simplify right side
    57,983.27x = 2,150,544,595.54
  5. Step 5: Solve for x
    x = 2,150,544,595.54/57,983.27
  6. Step 6: Final answer
    x = 37,089.05

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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.