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Finding the Fourth Proportional to 51,604.29, 71,216.79 and 38,834.50

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Solution

The fourth proportional to 51,604.29, 71,216.79 and 38,834.50 is: 53,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,604.29 : 71,216.79 = 38,834.50 : x
  2. Step 2: Convert to fraction form
    51,604.29/71,216.79 = 38,834.50/x
  3. Step 3: Cross multiply
    51,604.29x = 71,216.79 × 38,834.50
  4. Step 4: Simplify right side
    51,604.29x = 2,765,668,431.26
  5. Step 5: Solve for x
    x = 2,765,668,431.26/51,604.29
  6. Step 6: Final answer
    x = 53,593.77

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1.5x scale

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.