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Finding the Fourth Proportional to 51,604.50, 77,407.71 and 14,669.46

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Solution

The fourth proportional to 51,604.50, 77,407.71 and 14,669.46 is: 22,004.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,604.50 : 77,407.71 = 14,669.46 : x
  2. Step 2: Convert to fraction form
    51,604.50/77,407.71 = 14,669.46/x
  3. Step 3: Cross multiply
    51,604.50x = 77,407.71 × 14,669.46
  4. Step 4: Simplify right side
    51,604.50x = 1,135,529,305.54
  5. Step 5: Solve for x
    x = 1,135,529,305.54/51,604.50
  6. Step 6: Final answer
    x = 22,004.46

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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.