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Finding the Fourth Proportional to 32,647.50, 48,971.25 and 8,023.50

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Solution

The fourth proportional to 32,647.50, 48,971.25 and 8,023.50 is: 12,035.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,647.50 : 48,971.25 = 8,023.50 : x
  2. Step 2: Convert to fraction form
    32,647.50/48,971.25 = 8,023.50/x
  3. Step 3: Cross multiply
    32,647.50x = 48,971.25 × 8,023.50
  4. Step 4: Simplify right side
    32,647.50x = 392,920,824.38
  5. Step 5: Solve for x
    x = 392,920,824.38/32,647.50
  6. Step 6: Final answer
    x = 12,035.25

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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.