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Finding the Fourth Proportional to 51,651, 77,489.46 and 14,715

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Solution

The fourth proportional to 51,651, 77,489.46 and 14,715 is: 22,076.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,651 : 77,489.46 = 14,715 : x
  2. Step 2: Convert to fraction form
    51,651/77,489.46 = 14,715/x
  3. Step 3: Cross multiply
    51,651x = 77,489.46 × 14,715
  4. Step 4: Simplify right side
    51,651x = 1,140,257,403.90
  5. Step 5: Solve for x
    x = 1,140,257,403.90/51,651
  6. Step 6: Final answer
    x = 22,076.19

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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.