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Finding the Fourth Proportional to 32,477.35, 48,731.41 and 22,497.46

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Solution

The fourth proportional to 32,477.35, 48,731.41 and 22,497.46 is: 33,756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,477.35 : 48,731.41 = 22,497.46 : x
  2. Step 2: Convert to fraction form
    32,477.35/48,731.41 = 22,497.46/x
  3. Step 3: Cross multiply
    32,477.35x = 48,731.41 × 22,497.46
  4. Step 4: Simplify right side
    32,477.35x = 1,096,332,890.97
  5. Step 5: Solve for x
    x = 1,096,332,890.97/32,477.35
  6. Step 6: Final answer
    x = 33,756.85

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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.