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Finding the Fourth Proportional to 27,827.28, 41,739 and 13,039.50

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Solution

The fourth proportional to 27,827.28, 41,739 and 13,039.50 is: 19,558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,827.28 : 41,739 = 13,039.50 : x
  2. Step 2: Convert to fraction form
    27,827.28/41,739 = 13,039.50/x
  3. Step 3: Cross multiply
    27,827.28x = 41,739 × 13,039.50
  4. Step 4: Simplify right side
    27,827.28x = 544,255,690.50
  5. Step 5: Solve for x
    x = 544,255,690.50/27,827.28
  6. Step 6: Final answer
    x = 19,558.35

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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.