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Finding the Fourth Proportional to 38,805.75, 53,552.00 and 22,038.75

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Solution

The fourth proportional to 38,805.75, 53,552.00 and 22,038.75 is: 30,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,805.75 : 53,552.00 = 22,038.75 : x
  2. Step 2: Convert to fraction form
    38,805.75/53,552.00 = 22,038.75/x
  3. Step 3: Cross multiply
    38,805.75x = 53,552.00 × 22,038.75
  4. Step 4: Simplify right side
    38,805.75x = 1,180,219,195.10
  5. Step 5: Solve for x
    x = 1,180,219,195.10/38,805.75
  6. Step 6: Final answer
    x = 30,413.51

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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.