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Finding the Fourth Proportional to 34,892.69, 52,344.88 and 16,165.08

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Solution

The fourth proportional to 34,892.69, 52,344.88 and 16,165.08 is: 24,250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,892.69 : 52,344.88 = 16,165.08 : x
  2. Step 2: Convert to fraction form
    34,892.69/52,344.88 = 16,165.08/x
  3. Step 3: Cross multiply
    34,892.69x = 52,344.88 × 16,165.08
  4. Step 4: Simplify right side
    34,892.69x = 846,159,132.38
  5. Step 5: Solve for x
    x = 846,159,132.38/34,892.69
  6. Step 6: Final answer
    x = 24,250.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.