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Finding the Fourth Proportional to 32,176.62, 48,274.92 and 14,422.26

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Solution

The fourth proportional to 32,176.62, 48,274.92 and 14,422.26 is: 21,637.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176.62 : 48,274.92 = 14,422.26 : x
  2. Step 2: Convert to fraction form
    32,176.62/48,274.92 = 14,422.26/x
  3. Step 3: Cross multiply
    32,176.62x = 48,274.92 × 14,422.26
  4. Step 4: Simplify right side
    32,176.62x = 696,233,447.72
  5. Step 5: Solve for x
    x = 696,233,447.72/32,176.62
  6. Step 6: Final answer
    x = 21,637.87

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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.