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Finding the Fourth Proportional to 35,540.68, 53,301.24 and 13,352.32

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Solution

The fourth proportional to 35,540.68, 53,301.24 and 13,352.32 is: 20,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,540.68 : 53,301.24 = 13,352.32 : x
  2. Step 2: Convert to fraction form
    35,540.68/53,301.24 = 13,352.32/x
  3. Step 3: Cross multiply
    35,540.68x = 53,301.24 × 13,352.32
  4. Step 4: Simplify right side
    35,540.68x = 711,695,212.88
  5. Step 5: Solve for x
    x = 711,695,212.88/35,540.68
  6. Step 6: Final answer
    x = 20,024.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.