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Finding the Fourth Proportional to 32,647.40, 48,969.05 and 19,489.86

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Solution

The fourth proportional to 32,647.40, 48,969.05 and 19,489.86 is: 29,233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,647.40 : 48,969.05 = 19,489.86 : x
  2. Step 2: Convert to fraction form
    32,647.40/48,969.05 = 19,489.86/x
  3. Step 3: Cross multiply
    32,647.40x = 48,969.05 × 19,489.86
  4. Step 4: Simplify right side
    32,647.40x = 954,399,831.38
  5. Step 5: Solve for x
    x = 954,399,831.38/32,647.40
  6. Step 6: Final answer
    x = 29,233.56

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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.