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Finding the Fourth Proportional to 32,863.34, 49,295.04 and 9,169.94

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Solution

The fourth proportional to 32,863.34, 49,295.04 and 9,169.94 is: 13,754.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,863.34 : 49,295.04 = 9,169.94 : x
  2. Step 2: Convert to fraction form
    32,863.34/49,295.04 = 9,169.94/x
  3. Step 3: Cross multiply
    32,863.34x = 49,295.04 × 9,169.94
  4. Step 4: Simplify right side
    32,863.34x = 452,032,559.10
  5. Step 5: Solve for x
    x = 452,032,559.10/32,863.34
  6. Step 6: Final answer
    x = 13,754.92

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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.