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Finding the Fourth Proportional to 30,593.99, 45,882.58 and 8,402.10

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Solution

The fourth proportional to 30,593.99, 45,882.58 and 8,402.10 is: 12,600.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,593.99 : 45,882.58 = 8,402.10 : x
  2. Step 2: Convert to fraction form
    30,593.99/45,882.58 = 8,402.10/x
  3. Step 3: Cross multiply
    30,593.99x = 45,882.58 × 8,402.10
  4. Step 4: Simplify right side
    30,593.99x = 385,510,025.42
  5. Step 5: Solve for x
    x = 385,510,025.42/30,593.99
  6. Step 6: Final answer
    x = 12,600.84

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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.