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Finding the Fourth Proportional to 32,834.40, 49,256.24 and 10,642.56

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Solution

The fourth proportional to 32,834.40, 49,256.24 and 10,642.56 is: 15,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,834.40 : 49,256.24 = 10,642.56 : x
  2. Step 2: Convert to fraction form
    32,834.40/49,256.24 = 10,642.56/x
  3. Step 3: Cross multiply
    32,834.40x = 49,256.24 × 10,642.56
  4. Step 4: Simplify right side
    32,834.40x = 524,212,489.57
  5. Step 5: Solve for x
    x = 524,212,489.57/32,834.40
  6. Step 6: Final answer
    x = 15,965.34

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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.