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Finding the Fourth Proportional to 101,791.32, 152,531.28 and 54,413.16

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Solution

The fourth proportional to 101,791.32, 152,531.28 and 54,413.16 is: 81,536.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,791.32 : 152,531.28 = 54,413.16 : x
  2. Step 2: Convert to fraction form
    101,791.32/152,531.28 = 54,413.16/x
  3. Step 3: Cross multiply
    101,791.32x = 152,531.28 × 54,413.16
  4. Step 4: Simplify right side
    101,791.32x = 8,299,708,943.64
  5. Step 5: Solve for x
    x = 8,299,708,943.64/101,791.32
  6. Step 6: Final answer
    x = 81,536.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.