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Finding the Fourth Proportional to 30,045.92, 41,419.06 and 22,074.30

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Solution

The fourth proportional to 30,045.92, 41,419.06 and 22,074.30 is: 30,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,045.92 : 41,419.06 = 22,074.30 : x
  2. Step 2: Convert to fraction form
    30,045.92/41,419.06 = 22,074.30/x
  3. Step 3: Cross multiply
    30,045.92x = 41,419.06 × 22,074.30
  4. Step 4: Simplify right side
    30,045.92x = 914,296,756.16
  5. Step 5: Solve for x
    x = 914,296,756.16/30,045.92
  6. Step 6: Final answer
    x = 30,429.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.