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Finding the Fourth Proportional to 71,608.30, 107,266.65 and 36,567.70

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Solution

The fourth proportional to 71,608.30, 107,266.65 and 36,567.70 is: 54,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,608.30 : 107,266.65 = 36,567.70 : x
  2. Step 2: Convert to fraction form
    71,608.30/107,266.65 = 36,567.70/x
  3. Step 3: Cross multiply
    71,608.30x = 107,266.65 × 36,567.70
  4. Step 4: Simplify right side
    71,608.30x = 3,922,494,677.21
  5. Step 5: Solve for x
    x = 3,922,494,677.21/71,608.30
  6. Step 6: Final answer
    x = 54,777.10

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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.