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Finding the Fourth Proportional to 32,873.26, 49,317.66 and 10,686.64

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Solution

The fourth proportional to 32,873.26, 49,317.66 and 10,686.64 is: 16,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,873.26 : 49,317.66 = 10,686.64 : x
  2. Step 2: Convert to fraction form
    32,873.26/49,317.66 = 10,686.64/x
  3. Step 3: Cross multiply
    32,873.26x = 49,317.66 × 10,686.64
  4. Step 4: Simplify right side
    32,873.26x = 527,040,078.06
  5. Step 5: Solve for x
    x = 527,040,078.06/32,873.26
  6. Step 6: Final answer
    x = 16,032.49

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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.