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Finding the Fourth Proportional to 34,581.83, 51,862.49 and 14,855.78

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Solution

The fourth proportional to 34,581.83, 51,862.49 and 14,855.78 is: 22,279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,581.83 : 51,862.49 = 14,855.78 : x
  2. Step 2: Convert to fraction form
    34,581.83/51,862.49 = 14,855.78/x
  3. Step 3: Cross multiply
    34,581.83x = 51,862.49 × 14,855.78
  4. Step 4: Simplify right side
    34,581.83x = 770,457,667.41
  5. Step 5: Solve for x
    x = 770,457,667.41/34,581.83
  6. Step 6: Final answer
    x = 22,279.26

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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.