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Finding the Fourth Proportional to 51,967.33, 71,713.91 and 29,305.91

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Solution

The fourth proportional to 51,967.33, 71,713.91 and 29,305.91 is: 40,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,967.33 : 71,713.91 = 29,305.91 : x
  2. Step 2: Convert to fraction form
    51,967.33/71,713.91 = 29,305.91/x
  3. Step 3: Cross multiply
    51,967.33x = 71,713.91 × 29,305.91
  4. Step 4: Simplify right side
    51,967.33x = 2,101,641,644.76
  5. Step 5: Solve for x
    x = 2,101,641,644.76/51,967.33
  6. Step 6: Final answer
    x = 40,441.60

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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.