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Finding the Fourth Proportional to 32,324.06, 48,486.10 and 8,950.50

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Solution

The fourth proportional to 32,324.06, 48,486.10 and 8,950.50 is: 13,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,324.06 : 48,486.10 = 8,950.50 : x
  2. Step 2: Convert to fraction form
    32,324.06/48,486.10 = 8,950.50/x
  3. Step 3: Cross multiply
    32,324.06x = 48,486.10 × 8,950.50
  4. Step 4: Simplify right side
    32,324.06x = 433,974,633.85
  5. Step 5: Solve for x
    x = 433,974,633.85/32,324.06
  6. Step 6: Final answer
    x = 13,425.75

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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.