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Finding the Fourth Proportional to 39,832.72, 59,754.30 and 13,530.40

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Solution

The fourth proportional to 39,832.72, 59,754.30 and 13,530.40 is: 20,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,832.72 : 59,754.30 = 13,530.40 : x
  2. Step 2: Convert to fraction form
    39,832.72/59,754.30 = 13,530.40/x
  3. Step 3: Cross multiply
    39,832.72x = 59,754.30 × 13,530.40
  4. Step 4: Simplify right side
    39,832.72x = 808,499,580.72
  5. Step 5: Solve for x
    x = 808,499,580.72/39,832.72
  6. Step 6: Final answer
    x = 20,297.37

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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.