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Finding the Fourth Proportional to 32,150.45, 48,256.80 and 15,522.16

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Solution

The fourth proportional to 32,150.45, 48,256.80 and 15,522.16 is: 23,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,150.45 : 48,256.80 = 15,522.16 : x
  2. Step 2: Convert to fraction form
    32,150.45/48,256.80 = 15,522.16/x
  3. Step 3: Cross multiply
    32,150.45x = 48,256.80 × 15,522.16
  4. Step 4: Simplify right side
    32,150.45x = 749,049,770.69
  5. Step 5: Solve for x
    x = 749,049,770.69/32,150.45
  6. Step 6: Final answer
    x = 23,298.27

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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.