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Finding the Fourth Proportional to 80,824.86, 111,541.74 and 45,014.86

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Solution

The fourth proportional to 80,824.86, 111,541.74 and 45,014.86 is: 62,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,824.86 : 111,541.74 = 45,014.86 : x
  2. Step 2: Convert to fraction form
    80,824.86/111,541.74 = 45,014.86/x
  3. Step 3: Cross multiply
    80,824.86x = 111,541.74 × 45,014.86
  4. Step 4: Simplify right side
    80,824.86x = 5,021,035,810.26
  5. Step 5: Solve for x
    x = 5,021,035,810.26/80,824.86
  6. Step 6: Final answer
    x = 62,122.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.