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Finding the Fourth Proportional to 71,548.88, 107,307.96 and 44,882

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Solution

The fourth proportional to 71,548.88, 107,307.96 and 44,882 is: 67,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,548.88 : 107,307.96 = 44,882 : x
  2. Step 2: Convert to fraction form
    71,548.88/107,307.96 = 44,882/x
  3. Step 3: Cross multiply
    71,548.88x = 107,307.96 × 44,882
  4. Step 4: Simplify right side
    71,548.88x = 4,816,195,860.72
  5. Step 5: Solve for x
    x = 4,816,195,860.72/71,548.88
  6. Step 6: Final answer
    x = 67,313.36

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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.