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Finding the Fourth Proportional to 53,812.86, 80,649.09 and 33,541.24

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Solution

The fourth proportional to 53,812.86, 80,649.09 and 33,541.24 is: 50,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,812.86 : 80,649.09 = 33,541.24 : x
  2. Step 2: Convert to fraction form
    53,812.86/80,649.09 = 33,541.24/x
  3. Step 3: Cross multiply
    53,812.86x = 80,649.09 × 33,541.24
  4. Step 4: Simplify right side
    53,812.86x = 2,705,070,483.47
  5. Step 5: Solve for x
    x = 2,705,070,483.47/53,812.86
  6. Step 6: Final answer
    x = 50,268.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.