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Finding the Fourth Proportional to 71,602.98, 107,396.16 and 19,016.58

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Solution

The fourth proportional to 71,602.98, 107,396.16 and 19,016.58 is: 28,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,602.98 : 107,396.16 = 19,016.58 : x
  2. Step 2: Convert to fraction form
    71,602.98/107,396.16 = 19,016.58/x
  3. Step 3: Cross multiply
    71,602.98x = 107,396.16 × 19,016.58
  4. Step 4: Simplify right side
    71,602.98x = 2,042,307,668.33
  5. Step 5: Solve for x
    x = 2,042,307,668.33/71,602.98
  6. Step 6: Final answer
    x = 28,522.66

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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.