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Finding the Fourth Proportional to 53,057.25, 73,229.40 and 30,411.42

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Solution

The fourth proportional to 53,057.25, 73,229.40 and 30,411.42 is: 41,973.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,057.25 : 73,229.40 = 30,411.42 : x
  2. Step 2: Convert to fraction form
    53,057.25/73,229.40 = 30,411.42/x
  3. Step 3: Cross multiply
    53,057.25x = 73,229.40 × 30,411.42
  4. Step 4: Simplify right side
    53,057.25x = 2,227,010,039.75
  5. Step 5: Solve for x
    x = 2,227,010,039.75/53,057.25
  6. Step 6: Final answer
    x = 41,973.72

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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.