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Finding the Fourth Proportional to 53,837, 74,299.88 and 29,969

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Solution

The fourth proportional to 53,837, 74,299.88 and 29,969 is: 41,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,837 : 74,299.88 = 29,969 : x
  2. Step 2: Convert to fraction form
    53,837/74,299.88 = 29,969/x
  3. Step 3: Cross multiply
    53,837x = 74,299.88 × 29,969
  4. Step 4: Simplify right side
    53,837x = 2,226,693,103.72
  5. Step 5: Solve for x
    x = 2,226,693,103.72/53,837
  6. Step 6: Final answer
    x = 41,359.90

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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.