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Finding the Fourth Proportional to 32,145.34, 48,225.64 and 13,414.96

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Solution

The fourth proportional to 32,145.34, 48,225.64 and 13,414.96 is: 20,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.34 : 48,225.64 = 13,414.96 : x
  2. Step 2: Convert to fraction form
    32,145.34/48,225.64 = 13,414.96/x
  3. Step 3: Cross multiply
    32,145.34x = 48,225.64 × 13,414.96
  4. Step 4: Simplify right side
    32,145.34x = 646,945,031.57
  5. Step 5: Solve for x
    x = 646,945,031.57/32,145.34
  6. Step 6: Final answer
    x = 20,125.63

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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.