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Finding the Fourth Proportional to 30,314.92, 45,472.46 and 10,593.48

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Solution

The fourth proportional to 30,314.92, 45,472.46 and 10,593.48 is: 15,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,314.92 : 45,472.46 = 10,593.48 : x
  2. Step 2: Convert to fraction form
    30,314.92/45,472.46 = 10,593.48/x
  3. Step 3: Cross multiply
    30,314.92x = 45,472.46 × 10,593.48
  4. Step 4: Simplify right side
    30,314.92x = 481,711,595.56
  5. Step 5: Solve for x
    x = 481,711,595.56/30,314.92
  6. Step 6: Final answer
    x = 15,890.25

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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.