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Finding the Fourth Proportional to 49,920.98, 68,890.53 and 27,564.50

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Solution

The fourth proportional to 49,920.98, 68,890.53 and 27,564.50 is: 38,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,920.98 : 68,890.53 = 27,564.50 : x
  2. Step 2: Convert to fraction form
    49,920.98/68,890.53 = 27,564.50/x
  3. Step 3: Cross multiply
    49,920.98x = 68,890.53 × 27,564.50
  4. Step 4: Simplify right side
    49,920.98x = 1,898,933,014.19
  5. Step 5: Solve for x
    x = 1,898,933,014.19/49,920.98
  6. Step 6: Final answer
    x = 38,038.78

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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.