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Finding the Fourth Proportional to 82,209.40, 123,314.10 and 29,620.60

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Solution

The fourth proportional to 82,209.40, 123,314.10 and 29,620.60 is: 44,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,209.40 : 123,314.10 = 29,620.60 : x
  2. Step 2: Convert to fraction form
    82,209.40/123,314.10 = 29,620.60/x
  3. Step 3: Cross multiply
    82,209.40x = 123,314.10 × 29,620.60
  4. Step 4: Simplify right side
    82,209.40x = 3,652,637,630.46
  5. Step 5: Solve for x
    x = 3,652,637,630.46/82,209.40
  6. Step 6: Final answer
    x = 44,430.90

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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.