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Finding the Fourth Proportional to 34,016.77, 51,025.08 and 9,056.82

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Solution

The fourth proportional to 34,016.77, 51,025.08 and 9,056.82 is: 13,585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,016.77 : 51,025.08 = 9,056.82 : x
  2. Step 2: Convert to fraction form
    34,016.77/51,025.08 = 9,056.82/x
  3. Step 3: Cross multiply
    34,016.77x = 51,025.08 × 9,056.82
  4. Step 4: Simplify right side
    34,016.77x = 462,124,965.05
  5. Step 5: Solve for x
    x = 462,124,965.05/34,016.77
  6. Step 6: Final answer
    x = 13,585.21

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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.