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Finding the Fourth Proportional to 45,137.21, 67,698.12 and 13,538.71

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Solution

The fourth proportional to 45,137.21, 67,698.12 and 13,538.71 is: 20,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,137.21 : 67,698.12 = 13,538.71 : x
  2. Step 2: Convert to fraction form
    45,137.21/67,698.12 = 13,538.71/x
  3. Step 3: Cross multiply
    45,137.21x = 67,698.12 × 13,538.71
  4. Step 4: Simplify right side
    45,137.21x = 916,544,875.73
  5. Step 5: Solve for x
    x = 916,544,875.73/45,137.21
  6. Step 6: Final answer
    x = 20,305.75

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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.