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Finding the Fourth Proportional to 32,080.46, 48,121.97 and 9,894.02

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Solution

The fourth proportional to 32,080.46, 48,121.97 and 9,894.02 is: 14,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080.46 : 48,121.97 = 9,894.02 : x
  2. Step 2: Convert to fraction form
    32,080.46/48,121.97 = 9,894.02/x
  3. Step 3: Cross multiply
    32,080.46x = 48,121.97 × 9,894.02
  4. Step 4: Simplify right side
    32,080.46x = 476,119,443.54
  5. Step 5: Solve for x
    x = 476,119,443.54/32,080.46
  6. Step 6: Final answer
    x = 14,841.42

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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.