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Finding the Fourth Proportional to 71,711.60, 107,596.83 and 31,709.48

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Solution

The fourth proportional to 71,711.60, 107,596.83 and 31,709.48 is: 47,577.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,711.60 : 107,596.83 = 31,709.48 : x
  2. Step 2: Convert to fraction form
    71,711.60/107,596.83 = 31,709.48/x
  3. Step 3: Cross multiply
    71,711.60x = 107,596.83 × 31,709.48
  4. Step 4: Simplify right side
    71,711.60x = 3,411,839,528.95
  5. Step 5: Solve for x
    x = 3,411,839,528.95/71,711.60
  6. Step 6: Final answer
    x = 47,577.23

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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.