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Finding the Fourth Proportional to 32,229.24, 48,298.90 and 17,406.24

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Solution

The fourth proportional to 32,229.24, 48,298.90 and 17,406.24 is: 26,085.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,229.24 : 48,298.90 = 17,406.24 : x
  2. Step 2: Convert to fraction form
    32,229.24/48,298.90 = 17,406.24/x
  3. Step 3: Cross multiply
    32,229.24x = 48,298.90 × 17,406.24
  4. Step 4: Simplify right side
    32,229.24x = 840,702,245.14
  5. Step 5: Solve for x
    x = 840,702,245.14/32,229.24
  6. Step 6: Final answer
    x = 26,085.08

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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.