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Finding the Fourth Proportional to 54,720.52, 75,514.20 and 29,570

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Solution

The fourth proportional to 54,720.52, 75,514.20 and 29,570 is: 40,806.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,720.52 : 75,514.20 = 29,570 : x
  2. Step 2: Convert to fraction form
    54,720.52/75,514.20 = 29,570/x
  3. Step 3: Cross multiply
    54,720.52x = 75,514.20 × 29,570
  4. Step 4: Simplify right side
    54,720.52x = 2,232,954,894
  5. Step 5: Solve for x
    x = 2,232,954,894/54,720.52
  6. Step 6: Final answer
    x = 40,806.54

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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.