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Finding the Fourth Proportional to 32,521.40, 48,796.08 and 13,814.06

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Solution

The fourth proportional to 32,521.40, 48,796.08 and 13,814.06 is: 20,727.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,521.40 : 48,796.08 = 13,814.06 : x
  2. Step 2: Convert to fraction form
    32,521.40/48,796.08 = 13,814.06/x
  3. Step 3: Cross multiply
    32,521.40x = 48,796.08 × 13,814.06
  4. Step 4: Simplify right side
    32,521.40x = 674,071,976.88
  5. Step 5: Solve for x
    x = 674,071,976.88/32,521.40
  6. Step 6: Final answer
    x = 20,727.03

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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.