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Finding the Fourth Proportional to 32,980.64, 49,487.20 and 15,447.44

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Solution

The fourth proportional to 32,980.64, 49,487.20 and 15,447.44 is: 23,178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,980.64 : 49,487.20 = 15,447.44 : x
  2. Step 2: Convert to fraction form
    32,980.64/49,487.20 = 15,447.44/x
  3. Step 3: Cross multiply
    32,980.64x = 49,487.20 × 15,447.44
  4. Step 4: Simplify right side
    32,980.64x = 764,450,552.77
  5. Step 5: Solve for x
    x = 764,450,552.77/32,980.64
  6. Step 6: Final answer
    x = 23,178.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.