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Finding the Fourth Proportional to 51,993.50, 71,749.37 and 29,332.14

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Solution

The fourth proportional to 51,993.50, 71,749.37 and 29,332.14 is: 40,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,993.50 : 71,749.37 = 29,332.14 : x
  2. Step 2: Convert to fraction form
    51,993.50/71,749.37 = 29,332.14/x
  3. Step 3: Cross multiply
    51,993.50x = 71,749.37 × 29,332.14
  4. Step 4: Simplify right side
    51,993.50x = 2,104,562,419.09
  5. Step 5: Solve for x
    x = 2,104,562,419.09/51,993.50
  6. Step 6: Final answer
    x = 40,477.42

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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.