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Finding the Fourth Proportional to 71,877.15, 107,776.80 and 32,388.03

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Solution

The fourth proportional to 71,877.15, 107,776.80 and 32,388.03 is: 48,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,877.15 : 107,776.80 = 32,388.03 : x
  2. Step 2: Convert to fraction form
    71,877.15/107,776.80 = 32,388.03/x
  3. Step 3: Cross multiply
    71,877.15x = 107,776.80 × 32,388.03
  4. Step 4: Simplify right side
    71,877.15x = 3,490,678,231.70
  5. Step 5: Solve for x
    x = 3,490,678,231.70/71,877.15
  6. Step 6: Final answer
    x = 48,564.51

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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.