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Finding the Fourth Proportional to 38,802.24, 53,544.24 and 22,032

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Solution

The fourth proportional to 38,802.24, 53,544.24 and 22,032 is: 30,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,802.24 : 53,544.24 = 22,032 : x
  2. Step 2: Convert to fraction form
    38,802.24/53,544.24 = 22,032/x
  3. Step 3: Cross multiply
    38,802.24x = 53,544.24 × 22,032
  4. Step 4: Simplify right side
    38,802.24x = 1,179,686,695.68
  5. Step 5: Solve for x
    x = 1,179,686,695.68/38,802.24
  6. Step 6: Final answer
    x = 30,402.54

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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.