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Finding the Fourth Proportional to 30,197.66, 45,314.30 and 11,493.44

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Solution

The fourth proportional to 30,197.66, 45,314.30 and 11,493.44 is: 17,246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,197.66 : 45,314.30 = 11,493.44 : x
  2. Step 2: Convert to fraction form
    30,197.66/45,314.30 = 11,493.44/x
  3. Step 3: Cross multiply
    30,197.66x = 45,314.30 × 11,493.44
  4. Step 4: Simplify right side
    30,197.66x = 520,816,904.15
  5. Step 5: Solve for x
    x = 520,816,904.15/30,197.66
  6. Step 6: Final answer
    x = 17,246.93

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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.