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Finding the Fourth Proportional to 53,114.40, 73,295.01 and 30,452.30

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Solution

The fourth proportional to 53,114.40, 73,295.01 and 30,452.30 is: 42,022.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,114.40 : 73,295.01 = 30,452.30 : x
  2. Step 2: Convert to fraction form
    53,114.40/73,295.01 = 30,452.30/x
  3. Step 3: Cross multiply
    53,114.40x = 73,295.01 × 30,452.30
  4. Step 4: Simplify right side
    53,114.40x = 2,232,001,633.02
  5. Step 5: Solve for x
    x = 2,232,001,633.02/53,114.40
  6. Step 6: Final answer
    x = 42,022.53

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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.