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Finding the Fourth Proportional to 30,581.89, 45,813.06 and 21,071.75

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Solution

The fourth proportional to 30,581.89, 45,813.06 and 21,071.75 is: 31,566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,581.89 : 45,813.06 = 21,071.75 : x
  2. Step 2: Convert to fraction form
    30,581.89/45,813.06 = 21,071.75/x
  3. Step 3: Cross multiply
    30,581.89x = 45,813.06 × 21,071.75
  4. Step 4: Simplify right side
    30,581.89x = 965,361,117.99
  5. Step 5: Solve for x
    x = 965,361,117.99/30,581.89
  6. Step 6: Final answer
    x = 31,566.43

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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.