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Finding the Fourth Proportional to 53,570.34, 73,919.30 and 29,697

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Solution

The fourth proportional to 53,570.34, 73,919.30 and 29,697 is: 40,977.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,570.34 : 73,919.30 = 29,697 : x
  2. Step 2: Convert to fraction form
    53,570.34/73,919.30 = 29,697/x
  3. Step 3: Cross multiply
    53,570.34x = 73,919.30 × 29,697
  4. Step 4: Simplify right side
    53,570.34x = 2,195,181,452.10
  5. Step 5: Solve for x
    x = 2,195,181,452.10/53,570.34
  6. Step 6: Final answer
    x = 40,977.55

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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.