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Finding the Fourth Proportional to 82,861.60, 124,310.40 and 30,271

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Solution

The fourth proportional to 82,861.60, 124,310.40 and 30,271 is: 45,413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,861.60 : 124,310.40 = 30,271 : x
  2. Step 2: Convert to fraction form
    82,861.60/124,310.40 = 30,271/x
  3. Step 3: Cross multiply
    82,861.60x = 124,310.40 × 30,271
  4. Step 4: Simplify right side
    82,861.60x = 3,763,000,118.40
  5. Step 5: Solve for x
    x = 3,763,000,118.40/82,861.60
  6. Step 6: Final answer
    x = 45,413.08

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