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Finding the Fourth Proportional to 64,961.80, 97,413.90 and 29,912.20

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Solution

The fourth proportional to 64,961.80, 97,413.90 and 29,912.20 is: 44,855.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,961.80 : 97,413.90 = 29,912.20 : x
  2. Step 2: Convert to fraction form
    64,961.80/97,413.90 = 29,912.20/x
  3. Step 3: Cross multiply
    64,961.80x = 97,413.90 × 29,912.20
  4. Step 4: Simplify right side
    64,961.80x = 2,913,864,059.58
  5. Step 5: Solve for x
    x = 2,913,864,059.58/64,961.80
  6. Step 6: Final answer
    x = 44,855.04

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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.