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Finding the Fourth Proportional to 81,460.38, 112,413.48 and 47,466.75

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Solution

The fourth proportional to 81,460.38, 112,413.48 and 47,466.75 is: 65,503.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,460.38 : 112,413.48 = 47,466.75 : x
  2. Step 2: Convert to fraction form
    81,460.38/112,413.48 = 47,466.75/x
  3. Step 3: Cross multiply
    81,460.38x = 112,413.48 × 47,466.75
  4. Step 4: Simplify right side
    81,460.38x = 5,335,902,551.79
  5. Step 5: Solve for x
    x = 5,335,902,551.79/81,460.38
  6. Step 6: Final answer
    x = 65,503.04

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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.