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Finding the Fourth Proportional to 30,034.08, 41,446.71 and 16,605

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Solution

The fourth proportional to 30,034.08, 41,446.71 and 16,605 is: 22,914.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,034.08 : 41,446.71 = 16,605 : x
  2. Step 2: Convert to fraction form
    30,034.08/41,446.71 = 16,605/x
  3. Step 3: Cross multiply
    30,034.08x = 41,446.71 × 16,605
  4. Step 4: Simplify right side
    30,034.08x = 688,222,619.55
  5. Step 5: Solve for x
    x = 688,222,619.55/30,034.08
  6. Step 6: Final answer
    x = 22,914.72

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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.