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Finding the Fourth Proportional to 32,000.30, 47,986.05 and 12,272.30

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Solution

The fourth proportional to 32,000.30, 47,986.05 and 12,272.30 is: 18,402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.30 : 47,986.05 = 12,272.30 : x
  2. Step 2: Convert to fraction form
    32,000.30/47,986.05 = 12,272.30/x
  3. Step 3: Cross multiply
    32,000.30x = 47,986.05 × 12,272.30
  4. Step 4: Simplify right side
    32,000.30x = 588,899,201.42
  5. Step 5: Solve for x
    x = 588,899,201.42/32,000.30
  6. Step 6: Final answer
    x = 18,402.93

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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.