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Finding the Fourth Proportional to 32,857.07, 49,288.71 and 9,166.19

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Solution

The fourth proportional to 32,857.07, 49,288.71 and 9,166.19 is: 13,750.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,857.07 : 49,288.71 = 9,166.19 : x
  2. Step 2: Convert to fraction form
    32,857.07/49,288.71 = 9,166.19/x
  3. Step 3: Cross multiply
    32,857.07x = 49,288.71 × 9,166.19
  4. Step 4: Simplify right side
    32,857.07x = 451,789,680.71
  5. Step 5: Solve for x
    x = 451,789,680.71/32,857.07
  6. Step 6: Final answer
    x = 13,750.15

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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.