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Finding the Fourth Proportional to 82,014.10, 123,021.15 and 71,646.10

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Solution

The fourth proportional to 82,014.10, 123,021.15 and 71,646.10 is: 107,469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,014.10 : 123,021.15 = 71,646.10 : x
  2. Step 2: Convert to fraction form
    82,014.10/123,021.15 = 71,646.10/x
  3. Step 3: Cross multiply
    82,014.10x = 123,021.15 × 71,646.10
  4. Step 4: Simplify right side
    82,014.10x = 8,813,985,615.02
  5. Step 5: Solve for x
    x = 8,813,985,615.02/82,014.10
  6. Step 6: Final answer
    x = 107,469.15

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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.