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Finding the Fourth Proportional to 32,805.38, 45,267.36 and 18,463.46

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Solution

The fourth proportional to 32,805.38, 45,267.36 and 18,463.46 is: 25,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,805.38 : 45,267.36 = 18,463.46 : x
  2. Step 2: Convert to fraction form
    32,805.38/45,267.36 = 18,463.46/x
  3. Step 3: Cross multiply
    32,805.38x = 45,267.36 × 18,463.46
  4. Step 4: Simplify right side
    32,805.38x = 835,792,090.67
  5. Step 5: Solve for x
    x = 835,792,090.67/32,805.38
  6. Step 6: Final answer
    x = 25,477.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.