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Finding the Fourth Proportional to 34,513.81, 51,771.87 and 9,551.77

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Solution

The fourth proportional to 34,513.81, 51,771.87 and 9,551.77 is: 14,327.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,513.81 : 51,771.87 = 9,551.77 : x
  2. Step 2: Convert to fraction form
    34,513.81/51,771.87 = 9,551.77/x
  3. Step 3: Cross multiply
    34,513.81x = 51,771.87 × 9,551.77
  4. Step 4: Simplify right side
    34,513.81x = 494,512,994.71
  5. Step 5: Solve for x
    x = 494,512,994.71/34,513.81
  6. Step 6: Final answer
    x = 14,327.97

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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.