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Finding the Fourth Proportional to 32,536.41, 48,800.29 and 9,164.67

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Solution

The fourth proportional to 32,536.41, 48,800.29 and 9,164.67 is: 13,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,536.41 : 48,800.29 = 9,164.67 : x
  2. Step 2: Convert to fraction form
    32,536.41/48,800.29 = 9,164.67/x
  3. Step 3: Cross multiply
    32,536.41x = 48,800.29 × 9,164.67
  4. Step 4: Simplify right side
    32,536.41x = 447,238,553.75
  5. Step 5: Solve for x
    x = 447,238,553.75/32,536.41
  6. Step 6: Final answer
    x = 13,745.79

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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.