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Finding the Fourth Proportional to 30,534.87, 45,734.64 and 23,462.82

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Solution

The fourth proportional to 30,534.87, 45,734.64 and 23,462.82 is: 35,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534.87 : 45,734.64 = 23,462.82 : x
  2. Step 2: Convert to fraction form
    30,534.87/45,734.64 = 23,462.82/x
  3. Step 3: Cross multiply
    30,534.87x = 45,734.64 × 23,462.82
  4. Step 4: Simplify right side
    30,534.87x = 1,073,063,626.08
  5. Step 5: Solve for x
    x = 1,073,063,626.08/30,534.87
  6. Step 6: Final answer
    x = 35,142.24

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1.5x scale

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.