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Finding the Fourth Proportional to 51,601, 77,402.46 and 14,665.96

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Solution

The fourth proportional to 51,601, 77,402.46 and 14,665.96 is: 21,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,601 : 77,402.46 = 14,665.96 : x
  2. Step 2: Convert to fraction form
    51,601/77,402.46 = 14,665.96/x
  3. Step 3: Cross multiply
    51,601x = 77,402.46 × 14,665.96
  4. Step 4: Simplify right side
    51,601x = 1,135,181,382.26
  5. Step 5: Solve for x
    x = 1,135,181,382.26/51,601
  6. Step 6: Final answer
    x = 21,999.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.