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Finding the Fourth Proportional to 50,943.69, 70,302.53 and 31,834.56

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Solution

The fourth proportional to 50,943.69, 70,302.53 and 31,834.56 is: 43,931.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,943.69 : 70,302.53 = 31,834.56 : x
  2. Step 2: Convert to fraction form
    50,943.69/70,302.53 = 31,834.56/x
  3. Step 3: Cross multiply
    50,943.69x = 70,302.53 × 31,834.56
  4. Step 4: Simplify right side
    50,943.69x = 2,238,050,109.44
  5. Step 5: Solve for x
    x = 2,238,050,109.44/50,943.69
  6. Step 6: Final answer
    x = 43,931.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.