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Finding the Fourth Proportional to 32,174.62, 48,271.92 and 14,420.26

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Solution

The fourth proportional to 32,174.62, 48,271.92 and 14,420.26 is: 21,634.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,174.62 : 48,271.92 = 14,420.26 : x
  2. Step 2: Convert to fraction form
    32,174.62/48,271.92 = 14,420.26/x
  3. Step 3: Cross multiply
    32,174.62x = 48,271.92 × 14,420.26
  4. Step 4: Simplify right side
    32,174.62x = 696,093,637.10
  5. Step 5: Solve for x
    x = 696,093,637.10/32,174.62
  6. Step 6: Final answer
    x = 21,634.87

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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.