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Finding the Fourth Proportional to 34,641.08, 51,969.32 and 16,163

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Solution

The fourth proportional to 34,641.08, 51,969.32 and 16,163 is: 24,248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,641.08 : 51,969.32 = 16,163 : x
  2. Step 2: Convert to fraction form
    34,641.08/51,969.32 = 16,163/x
  3. Step 3: Cross multiply
    34,641.08x = 51,969.32 × 16,163
  4. Step 4: Simplify right side
    34,641.08x = 839,980,119.16
  5. Step 5: Solve for x
    x = 839,980,119.16/34,641.08
  6. Step 6: Final answer
    x = 24,248.09

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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.