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Finding the Fourth Proportional to 30,596.02, 45,885.20 and 8,410.12

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Solution

The fourth proportional to 30,596.02, 45,885.20 and 8,410.12 is: 12,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.02 : 45,885.20 = 8,410.12 : x
  2. Step 2: Convert to fraction form
    30,596.02/45,885.20 = 8,410.12/x
  3. Step 3: Cross multiply
    30,596.02x = 45,885.20 × 8,410.12
  4. Step 4: Simplify right side
    30,596.02x = 385,899,808.80
  5. Step 5: Solve for x
    x = 385,899,808.80/30,596.02
  6. Step 6: Final answer
    x = 12,612.75

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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.