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Finding the Fourth Proportional to 32,946.16, 49,419.34 and 7,986.11

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Solution

The fourth proportional to 32,946.16, 49,419.34 and 7,986.11 is: 11,979.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,946.16 : 49,419.34 = 7,986.11 : x
  2. Step 2: Convert to fraction form
    32,946.16/49,419.34 = 7,986.11/x
  3. Step 3: Cross multiply
    32,946.16x = 49,419.34 × 7,986.11
  4. Step 4: Simplify right side
    32,946.16x = 394,668,285.37
  5. Step 5: Solve for x
    x = 394,668,285.37/32,946.16
  6. Step 6: Final answer
    x = 11,979.19

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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.