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Finding the Fourth Proportional to 32,174.66, 48,208.65 and 22,768.07

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Solution

The fourth proportional to 32,174.66, 48,208.65 and 22,768.07 is: 34,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,174.66 : 48,208.65 = 22,768.07 : x
  2. Step 2: Convert to fraction form
    32,174.66/48,208.65 = 22,768.07/x
  3. Step 3: Cross multiply
    32,174.66x = 48,208.65 × 22,768.07
  4. Step 4: Simplify right side
    32,174.66x = 1,097,617,917.81
  5. Step 5: Solve for x
    x = 1,097,617,917.81/32,174.66
  6. Step 6: Final answer
    x = 34,114.36

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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.