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Finding the Fourth Proportional to 30,033.23, 41,446.02 and 16,421.32

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Solution

The fourth proportional to 30,033.23, 41,446.02 and 16,421.32 is: 22,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,033.23 : 41,446.02 = 16,421.32 : x
  2. Step 2: Convert to fraction form
    30,033.23/41,446.02 = 16,421.32/x
  3. Step 3: Cross multiply
    30,033.23x = 41,446.02 × 16,421.32
  4. Step 4: Simplify right side
    30,033.23x = 680,598,357.15
  5. Step 5: Solve for x
    x = 680,598,357.15/30,033.23
  6. Step 6: Final answer
    x = 22,661.51

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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.