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Finding the Fourth Proportional to 30,380.50, 45,594.24 and 21,085.75

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Solution

The fourth proportional to 30,380.50, 45,594.24 and 21,085.75 is: 31,644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,380.50 : 45,594.24 = 21,085.75 : x
  2. Step 2: Convert to fraction form
    30,380.50/45,594.24 = 21,085.75/x
  3. Step 3: Cross multiply
    30,380.50x = 45,594.24 × 21,085.75
  4. Step 4: Simplify right side
    30,380.50x = 961,388,746.08
  5. Step 5: Solve for x
    x = 961,388,746.08/30,380.50
  6. Step 6: Final answer
    x = 31,644.93

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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.