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Finding the Fourth Proportional to 32,080.14, 48,114.06 and 9,890.16

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Solution

The fourth proportional to 32,080.14, 48,114.06 and 9,890.16 is: 14,833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080.14 : 48,114.06 = 9,890.16 : x
  2. Step 2: Convert to fraction form
    32,080.14/48,114.06 = 9,890.16/x
  3. Step 3: Cross multiply
    32,080.14x = 48,114.06 × 9,890.16
  4. Step 4: Simplify right side
    32,080.14x = 475,855,751.65
  5. Step 5: Solve for x
    x = 475,855,751.65/32,080.14
  6. Step 6: Final answer
    x = 14,833.34

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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.