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Finding the Fourth Proportional to 98,954.84, 148,413.88 and 28,817.48

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Solution

The fourth proportional to 98,954.84, 148,413.88 and 28,817.48 is: 43,220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,954.84 : 148,413.88 = 28,817.48 : x
  2. Step 2: Convert to fraction form
    98,954.84/148,413.88 = 28,817.48/x
  3. Step 3: Cross multiply
    98,954.84x = 148,413.88 × 28,817.48
  4. Step 4: Simplify right side
    98,954.84x = 4,276,914,018.62
  5. Step 5: Solve for x
    x = 4,276,914,018.62/98,954.84
  6. Step 6: Final answer
    x = 43,220.87

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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.