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Finding the Fourth Proportional to 71,872.64, 107,855.04 and 34,916.48

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Solution

The fourth proportional to 71,872.64, 107,855.04 and 34,916.48 is: 52,397.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,872.64 : 107,855.04 = 34,916.48 : x
  2. Step 2: Convert to fraction form
    71,872.64/107,855.04 = 34,916.48/x
  3. Step 3: Cross multiply
    71,872.64x = 107,855.04 × 34,916.48
  4. Step 4: Simplify right side
    71,872.64x = 3,765,918,347.06
  5. Step 5: Solve for x
    x = 3,765,918,347.06/71,872.64
  6. Step 6: Final answer
    x = 52,397.11

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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.