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Finding the Fourth Proportional to 30,575.96, 45,859.02 and 8,384.16

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Solution

The fourth proportional to 30,575.96, 45,859.02 and 8,384.16 is: 12,574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,575.96 : 45,859.02 = 8,384.16 : x
  2. Step 2: Convert to fraction form
    30,575.96/45,859.02 = 8,384.16/x
  3. Step 3: Cross multiply
    30,575.96x = 45,859.02 × 8,384.16
  4. Step 4: Simplify right side
    30,575.96x = 384,489,361.12
  5. Step 5: Solve for x
    x = 384,489,361.12/30,575.96
  6. Step 6: Final answer
    x = 12,574.89

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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.