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Finding the Fourth Proportional to 38,180.48, 52,688.88 and 21,413.48

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Solution

The fourth proportional to 38,180.48, 52,688.88 and 21,413.48 is: 29,550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,180.48 : 52,688.88 = 21,413.48 : x
  2. Step 2: Convert to fraction form
    38,180.48/52,688.88 = 21,413.48/x
  3. Step 3: Cross multiply
    38,180.48x = 52,688.88 × 21,413.48
  4. Step 4: Simplify right side
    38,180.48x = 1,128,252,278.10
  5. Step 5: Solve for x
    x = 1,128,252,278.10/38,180.48
  6. Step 6: Final answer
    x = 29,550.50

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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.