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Finding the Fourth Proportional to 45,791.64, 68,698.14 and 14,200.05

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Solution

The fourth proportional to 45,791.64, 68,698.14 and 14,200.05 is: 21,303.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,791.64 : 68,698.14 = 14,200.05 : x
  2. Step 2: Convert to fraction form
    45,791.64/68,698.14 = 14,200.05/x
  3. Step 3: Cross multiply
    45,791.64x = 68,698.14 × 14,200.05
  4. Step 4: Simplify right side
    45,791.64x = 975,517,022.91
  5. Step 5: Solve for x
    x = 975,517,022.91/45,791.64
  6. Step 6: Final answer
    x = 21,303.39

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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.