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Finding the Fourth Proportional to 53,541, 73,784.72 and 39,205.22

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Solution

The fourth proportional to 53,541, 73,784.72 and 39,205.22 is: 54,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,541 : 73,784.72 = 39,205.22 : x
  2. Step 2: Convert to fraction form
    53,541/73,784.72 = 39,205.22/x
  3. Step 3: Cross multiply
    53,541x = 73,784.72 × 39,205.22
  4. Step 4: Simplify right side
    53,541x = 2,892,745,909.33
  5. Step 5: Solve for x
    x = 2,892,745,909.33/53,541
  6. Step 6: Final answer
    x = 54,028.61

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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.