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Finding the Fourth Proportional to 54,823, 82,247.50 and 17,887

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Solution

The fourth proportional to 54,823, 82,247.50 and 17,887 is: 26,834.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,823 : 82,247.50 = 17,887 : x
  2. Step 2: Convert to fraction form
    54,823/82,247.50 = 17,887/x
  3. Step 3: Cross multiply
    54,823x = 82,247.50 × 17,887
  4. Step 4: Simplify right side
    54,823x = 1,471,161,032.50
  5. Step 5: Solve for x
    x = 1,471,161,032.50/54,823
  6. Step 6: Final answer
    x = 26,834.74

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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.