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Finding the Fourth Proportional to 38,552.96, 53,203.23 and 22,424.14

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Solution

The fourth proportional to 38,552.96, 53,203.23 and 22,424.14 is: 30,945.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,552.96 : 53,203.23 = 22,424.14 : x
  2. Step 2: Convert to fraction form
    38,552.96/53,203.23 = 22,424.14/x
  3. Step 3: Cross multiply
    38,552.96x = 53,203.23 × 22,424.14
  4. Step 4: Simplify right side
    38,552.96x = 1,193,036,744.48
  5. Step 5: Solve for x
    x = 1,193,036,744.48/38,552.96
  6. Step 6: Final answer
    x = 30,945.40

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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.