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Finding the Fourth Proportional to 32,705.81, 49,066.04 and 11,929.31

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Solution

The fourth proportional to 32,705.81, 49,066.04 and 11,929.31 is: 17,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,705.81 : 49,066.04 = 11,929.31 : x
  2. Step 2: Convert to fraction form
    32,705.81/49,066.04 = 11,929.31/x
  3. Step 3: Cross multiply
    32,705.81x = 49,066.04 × 11,929.31
  4. Step 4: Simplify right side
    32,705.81x = 585,324,064.65
  5. Step 5: Solve for x
    x = 585,324,064.65/32,705.81
  6. Step 6: Final answer
    x = 17,896.64

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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.