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Finding the Fourth Proportional to 52,104.60, 71,911.80 and 29,450.52

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Solution

The fourth proportional to 52,104.60, 71,911.80 and 29,450.52 is: 40,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,104.60 : 71,911.80 = 29,450.52 : x
  2. Step 2: Convert to fraction form
    52,104.60/71,911.80 = 29,450.52/x
  3. Step 3: Cross multiply
    52,104.60x = 71,911.80 × 29,450.52
  4. Step 4: Simplify right side
    52,104.60x = 2,117,839,904.14
  5. Step 5: Solve for x
    x = 2,117,839,904.14/52,104.60
  6. Step 6: Final answer
    x = 40,645.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.