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Finding the Fourth Proportional to 71,795.94, 107,694 and 19,205.40

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Solution

The fourth proportional to 71,795.94, 107,694 and 19,205.40 is: 28,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,795.94 : 107,694 = 19,205.40 : x
  2. Step 2: Convert to fraction form
    71,795.94/107,694 = 19,205.40/x
  3. Step 3: Cross multiply
    71,795.94x = 107,694 × 19,205.40
  4. Step 4: Simplify right side
    71,795.94x = 2,068,306,347.60
  5. Step 5: Solve for x
    x = 2,068,306,347.60/71,795.94
  6. Step 6: Final answer
    x = 28,808.12

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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.