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Finding the Fourth Proportional to 98,410.60, 147,515.10 and 48,413.80

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Solution

The fourth proportional to 98,410.60, 147,515.10 and 48,413.80 is: 72,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,410.60 : 147,515.10 = 48,413.80 : x
  2. Step 2: Convert to fraction form
    98,410.60/147,515.10 = 48,413.80/x
  3. Step 3: Cross multiply
    98,410.60x = 147,515.10 × 48,413.80
  4. Step 4: Simplify right side
    98,410.60x = 7,141,766,548.38
  5. Step 5: Solve for x
    x = 7,141,766,548.38/98,410.60
  6. Step 6: Final answer
    x = 72,571.11

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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.