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Finding the Fourth Proportional to 55,874.70, 83,811.33 and 13,755.30

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Solution

The fourth proportional to 55,874.70, 83,811.33 and 13,755.30 is: 20,632.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,874.70 : 83,811.33 = 13,755.30 : x
  2. Step 2: Convert to fraction form
    55,874.70/83,811.33 = 13,755.30/x
  3. Step 3: Cross multiply
    55,874.70x = 83,811.33 × 13,755.30
  4. Step 4: Simplify right side
    55,874.70x = 1,152,849,987.55
  5. Step 5: Solve for x
    x = 1,152,849,987.55/55,874.70
  6. Step 6: Final answer
    x = 20,632.77

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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.