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Finding the Fourth Proportional to 32,806.26, 49,212.32 and 14,082.08

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Solution

The fourth proportional to 32,806.26, 49,212.32 and 14,082.08 is: 21,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,806.26 : 49,212.32 = 14,082.08 : x
  2. Step 2: Convert to fraction form
    32,806.26/49,212.32 = 14,082.08/x
  3. Step 3: Cross multiply
    32,806.26x = 49,212.32 × 14,082.08
  4. Step 4: Simplify right side
    32,806.26x = 693,011,827.23
  5. Step 5: Solve for x
    x = 693,011,827.23/32,806.26
  6. Step 6: Final answer
    x = 21,124.38

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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.