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Finding the Fourth Proportional to 29,200.05, 43,800.14 and 8,140.14

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Solution

The fourth proportional to 29,200.05, 43,800.14 and 8,140.14 is: 12,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,200.05 : 43,800.14 = 8,140.14 : x
  2. Step 2: Convert to fraction form
    29,200.05/43,800.14 = 8,140.14/x
  3. Step 3: Cross multiply
    29,200.05x = 43,800.14 × 8,140.14
  4. Step 4: Simplify right side
    29,200.05x = 356,539,271.62
  5. Step 5: Solve for x
    x = 356,539,271.62/29,200.05
  6. Step 6: Final answer
    x = 12,210.23

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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.