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Finding the Fourth Proportional to 38,770.80, 58,165.02 and 13,813.50

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Solution

The fourth proportional to 38,770.80, 58,165.02 and 13,813.50 is: 20,723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,770.80 : 58,165.02 = 13,813.50 : x
  2. Step 2: Convert to fraction form
    38,770.80/58,165.02 = 13,813.50/x
  3. Step 3: Cross multiply
    38,770.80x = 58,165.02 × 13,813.50
  4. Step 4: Simplify right side
    38,770.80x = 803,462,503.77
  5. Step 5: Solve for x
    x = 803,462,503.77/38,770.80
  6. Step 6: Final answer
    x = 20,723.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.