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Finding the Fourth Proportional to 30,419.92, 45,641.56 and 21,422.67

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Solution

The fourth proportional to 30,419.92, 45,641.56 and 21,422.67 is: 32,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.92 : 45,641.56 = 21,422.67 : x
  2. Step 2: Convert to fraction form
    30,419.92/45,641.56 = 21,422.67/x
  3. Step 3: Cross multiply
    30,419.92x = 45,641.56 × 21,422.67
  4. Step 4: Simplify right side
    30,419.92x = 977,764,017.62
  5. Step 5: Solve for x
    x = 977,764,017.62/30,419.92
  6. Step 6: Final answer
    x = 32,142.23

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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.