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Finding the Fourth Proportional to 38,410.92, 53,007.54 and 22,281.96

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Solution

The fourth proportional to 38,410.92, 53,007.54 and 22,281.96 is: 30,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,410.92 : 53,007.54 = 22,281.96 : x
  2. Step 2: Convert to fraction form
    38,410.92/53,007.54 = 22,281.96/x
  3. Step 3: Cross multiply
    38,410.92x = 53,007.54 × 22,281.96
  4. Step 4: Simplify right side
    38,410.92x = 1,181,112,001.20
  5. Step 5: Solve for x
    x = 1,181,112,001.20/38,410.92
  6. Step 6: Final answer
    x = 30,749.38

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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.