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Finding the Fourth Proportional to 30,805.38, 42,511.50 and 17,376.12

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Solution

The fourth proportional to 30,805.38, 42,511.50 and 17,376.12 is: 23,979.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.38 : 42,511.50 = 17,376.12 : x
  2. Step 2: Convert to fraction form
    30,805.38/42,511.50 = 17,376.12/x
  3. Step 3: Cross multiply
    30,805.38x = 42,511.50 × 17,376.12
  4. Step 4: Simplify right side
    30,805.38x = 738,684,925.38
  5. Step 5: Solve for x
    x = 738,684,925.38/30,805.38
  6. Step 6: Final answer
    x = 23,979.09

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Why These Related Problems?

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