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Finding the Fourth Proportional to 38,774.54, 53,508.38 and 22,006.46

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Solution

The fourth proportional to 38,774.54, 53,508.38 and 22,006.46 is: 30,368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,774.54 : 53,508.38 = 22,006.46 : x
  2. Step 2: Convert to fraction form
    38,774.54/53,508.38 = 22,006.46/x
  3. Step 3: Cross multiply
    38,774.54x = 53,508.38 × 22,006.46
  4. Step 4: Simplify right side
    38,774.54x = 1,177,530,024.13
  5. Step 5: Solve for x
    x = 1,177,530,024.13/38,774.54
  6. Step 6: Final answer
    x = 30,368.64

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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.