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Finding the Fourth Proportional to 42,665.50, 63,999.17 and 13,082.68

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Solution

The fourth proportional to 42,665.50, 63,999.17 and 13,082.68 is: 19,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,665.50 : 63,999.17 = 13,082.68 : x
  2. Step 2: Convert to fraction form
    42,665.50/63,999.17 = 13,082.68/x
  3. Step 3: Cross multiply
    42,665.50x = 63,999.17 × 13,082.68
  4. Step 4: Simplify right side
    42,665.50x = 837,280,485.02
  5. Step 5: Solve for x
    x = 837,280,485.02/42,665.50
  6. Step 6: Final answer
    x = 19,624.30

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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.