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Finding the Fourth Proportional to 32,661.54, 48,996.60 and 10,467.54

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Solution

The fourth proportional to 32,661.54, 48,996.60 and 10,467.54 is: 15,702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,661.54 : 48,996.60 = 10,467.54 : x
  2. Step 2: Convert to fraction form
    32,661.54/48,996.60 = 10,467.54/x
  3. Step 3: Cross multiply
    32,661.54x = 48,996.60 × 10,467.54
  4. Step 4: Simplify right side
    32,661.54x = 512,873,870.36
  5. Step 5: Solve for x
    x = 512,873,870.36/32,661.54
  6. Step 6: Final answer
    x = 15,702.68

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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.