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Finding the Fourth Proportional to 32,191.90, 48,301.72 and 17,411.22

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Solution

The fourth proportional to 32,191.90, 48,301.72 and 17,411.22 is: 26,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,191.90 : 48,301.72 = 17,411.22 : x
  2. Step 2: Convert to fraction form
    32,191.90/48,301.72 = 17,411.22/x
  3. Step 3: Cross multiply
    32,191.90x = 48,301.72 × 17,411.22
  4. Step 4: Simplify right side
    32,191.90x = 840,991,786.24
  5. Step 5: Solve for x
    x = 840,991,786.24/32,191.90
  6. Step 6: Final answer
    x = 26,124.33

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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.