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Finding the Fourth Proportional to 30,377.64, 45,491.13 and 21,027

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Solution

The fourth proportional to 30,377.64, 45,491.13 and 21,027 is: 31,488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,377.64 : 45,491.13 = 21,027 : x
  2. Step 2: Convert to fraction form
    30,377.64/45,491.13 = 21,027/x
  3. Step 3: Cross multiply
    30,377.64x = 45,491.13 × 21,027
  4. Step 4: Simplify right side
    30,377.64x = 956,541,990.51
  5. Step 5: Solve for x
    x = 956,541,990.51/30,377.64
  6. Step 6: Final answer
    x = 31,488.36

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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.