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Finding the Fourth Proportional to 32,197.12, 48,264.96 and 11,409.28

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Solution

The fourth proportional to 32,197.12, 48,264.96 and 11,409.28 is: 17,103.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197.12 : 48,264.96 = 11,409.28 : x
  2. Step 2: Convert to fraction form
    32,197.12/48,264.96 = 11,409.28/x
  3. Step 3: Cross multiply
    32,197.12x = 48,264.96 × 11,409.28
  4. Step 4: Simplify right side
    32,197.12x = 550,668,442.83
  5. Step 5: Solve for x
    x = 550,668,442.83/32,197.12
  6. Step 6: Final answer
    x = 17,103.03

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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.