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Finding the Fourth Proportional to 36,283.68, 54,428.96 and 14,098.77

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Solution

The fourth proportional to 36,283.68, 54,428.96 and 14,098.77 is: 21,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,283.68 : 54,428.96 = 14,098.77 : x
  2. Step 2: Convert to fraction form
    36,283.68/54,428.96 = 14,098.77/x
  3. Step 3: Cross multiply
    36,283.68x = 54,428.96 × 14,098.77
  4. Step 4: Simplify right side
    36,283.68x = 767,381,217.06
  5. Step 5: Solve for x
    x = 767,381,217.06/36,283.68
  6. Step 6: Final answer
    x = 21,149.49

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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.