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Finding the Fourth Proportional to 59,307, 81,843.66 and 32,811

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Solution

The fourth proportional to 59,307, 81,843.66 and 32,811 is: 45,279.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,307 : 81,843.66 = 32,811 : x
  2. Step 2: Convert to fraction form
    59,307/81,843.66 = 32,811/x
  3. Step 3: Cross multiply
    59,307x = 81,843.66 × 32,811
  4. Step 4: Simplify right side
    59,307x = 2,685,372,328.26
  5. Step 5: Solve for x
    x = 2,685,372,328.26/59,307
  6. Step 6: Final answer
    x = 45,279.18

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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.